{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "younger-logging",
   "metadata": {},
   "source": [
    "# Detecting outliers using residuals and LOWESS\n",
    "\n",
    "[Feature Engineering for Time Series Forecasting](https://www.trainindata.com/p/feature-engineering-for-forecasting)\n",
    "\n",
    "In this notebook we show how to identify outliers in time series using LOWESS. However, this time we shall analyse the residuals to determine if a given data point is an outlier.\n",
    "\n",
    "We will work with a monthly retail sales dataset (found [here](https://raw.githubusercontent.com/facebook/prophet/master/examples/example_retail_sales.csv)).\n",
    "\n",
    "For instructions on how to download, prepare, and store the dataset, refer to notebook number 1, in the folder \"01-Datasets\" from this repo.\n",
    "\n",
    "## Data Set Synopsis\n",
    "\n",
    "The timeseries is between January 1992 and Apr 2005.\n",
    "\n",
    "It consists of a single series of monthly values representing sales volumes. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "demographic-emergency",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "from statsmodels.nonparametric.smoothers_lowess import lowess\n",
    "from statsmodels.tsa.seasonal import STL\n",
    "\n",
    "sns.set_context(\"talk\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "stainless-fabric",
   "metadata": {},
   "source": [
    "# The 1.5 x IQR rule"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "activated-check",
   "metadata": {},
   "source": [
    "A common rule to determine whether a particular data point is an outlier is the 1.5 x interquartile range (IQR) rule.\n",
    "\n",
    "This rule states that a data point $x$ is an outlier if:\n",
    "\n",
    "$$x > Q_3 + 1.5 \\times IQR$$\n",
    "$$x <Q_1 - 1.5 \\times IQR$$\n",
    "\n",
    "where $Q1$ and $Q3$ are the 1st and 3rd quartiles respectively."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "junior-paraguay",
   "metadata": {},
   "source": [
    "Why 1.5? Assuming that $x$ is normally distributed it can be shown that the above thresholds correspond to 2.7$\\sigma$ from the mean, where $\\sigma$ is the standard deviation. This is close to 3$\\sigma$. If $x$ is normally distributed then 99.7% of the observations will lie within 3$\\sigma$ of the mean. Data that is outside 3$\\sigma$ is unlikely and hence could be flagged as an outlier."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "working-picture",
   "metadata": {},
   "source": [
    "A different factor from 1.5 can be used to adjust the sensitivity of outlier detection (i.e., a smaller value will be more sensitive, a larger value will be less sensitive). If the data is not normally distributed then another factor may be preferred. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "wound-integer",
   "metadata": {},
   "source": [
    "So far all of this assumes that the distribution of $x$ does not change over time. How can we apply this to time series? We can examine the residuals. The residuals are computed: $e_t = y_t - \\hat{y}_t$ where $\\hat{y}_t$ is obtained by an estimation method, such as the rolling median.  If we observe that the residuals are stationary (i.e., the mean and standard deviation of the residuals do not change with time) then we can compute the quartiles and interquartile range of the residuals and use the 1.5 x IQR rule above. A good estimation method would typically result in stationary residuals.\n",
    "\n",
    "A plot of the residuals over time can visually inspected as a sense check to ensure they are stationary."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "directed-madison",
   "metadata": {},
   "source": [
    "# Load data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "adapted-enclosure",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load retail sales dataset with the artificially added outliers\n",
    "df = pd.read_csv(\n",
    "    \"../Datasets/example_retail_sales_with_outliers.csv\",\n",
    "    parse_dates=[\"ds\"],\n",
    "    index_col=[\"ds\"],\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "oriented-career",
   "metadata": {},
   "source": [
    "# Plot the data to visually inspect any outliers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "strong-martin",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "df.plot(y=\"y\", marker=\".\", figsize=[10, 5], legend=None, ax=ax)\n",
    "ax.set_title(\"Retail Sales with outliers\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "australian-turning",
   "metadata": {},
   "source": [
    "The seasonal spikes in the data are likely to be picked up as outliers. We shall de-seasonalise the data first using STL decomposition as shown in the previous notebook. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "found-flexibility",
   "metadata": {},
   "source": [
    "# De-seasonalise data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "saved-climate",
   "metadata": {},
   "source": [
    "A large value for the `seasonal` parameter is chosen for the STL decomposition, this is based on an assumption that the seasonality is not changing very much. In addition we set the `robust` parameter to True which implements an outlier robust version of STL decomposition."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "direct-confidentiality",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "ds\n",
       "1992-01-01   -18117.495889\n",
       "1992-02-01   -19115.124261\n",
       "1992-03-01    -5472.704639\n",
       "1992-04-01     -934.499381\n",
       "1992-05-01     2910.868481\n",
       "Name: season, dtype: float64"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Apply STL decomposition\n",
    "res = STL(df[\"y\"], robust=True).fit()\n",
    "seasonal_component = res.seasonal\n",
    "seasonal_component.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "unlike-actor",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_deseasoned = (df[\"y\"] - seasonal_component).to_frame(\"y\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "paperback-listing",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1992-01-01</th>\n",
       "      <td>164493.495889</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-02-01</th>\n",
       "      <td>166194.124261</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-03-01</th>\n",
       "      <td>164808.704639</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-04-01</th>\n",
       "      <td>164603.499381</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-05-01</th>\n",
       "      <td>167157.131519</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                        y\n",
       "ds                       \n",
       "1992-01-01  164493.495889\n",
       "1992-02-01  166194.124261\n",
       "1992-03-01  164808.704639\n",
       "1992-04-01  164603.499381\n",
       "1992-05-01  167157.131519"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_deseasoned.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "reasonable-trance",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "\n",
    "df_deseasoned.plot(y=\"y\", marker=\".\", figsize=[10, 5], legend=None, ax=ax)\n",
    "ax.set_title(\"Retail Sales deseasonalised with outliers\")\n",
    "ax.set_ylabel(\"Retail Sales deseasonalised\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "elect-damage",
   "metadata": {},
   "source": [
    "# Fit a trend line using LOWESS and examine residuals"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "taken-facing",
   "metadata": {},
   "source": [
    "Any estimation method could be used to provide an expected value $\\hat{y}_t$ from which we can go on to examine the residuals. We could use the rolling mean or median introduced in the previous notebook. Instead, we shall introduce the idea of using LOWESS to provide an expected value $\\hat{y}_t$. LOWESS has the advantages of being robout to outliers and not having the same issues with smaller windows at the edge of the time series that rolling averages have."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "capable-berkeley",
   "metadata": {},
   "source": [
    "The expected value $\\hat{y}_t$ is computed as the trend obtained from LOWESS:\n",
    "\n",
    "$$\\hat{y}_t = trend_t$$\n",
    "\n",
    "where the $trend_t$ is the value of the trend obtained by LOWESS at time $t$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "historical-method",
   "metadata": {},
   "source": [
    "The residuals are computed: $e_t = y_t - \\hat{y}_t$\n",
    "and the quartiles and interquartile range of the residuals are calculated across the whole time series."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "alien-university",
   "metadata": {},
   "source": [
    "The threshold is defined by the distance from the lower and upper quartiles of the residuals and does not depend on time:\n",
    "\n",
    "$$\\delta_{upper} = Q_3 + \\alpha \\times IQR$$\n",
    "$$\\delta_{lower} = Q_1 - \\alpha \\times IQR$$\n",
    "\n",
    "As mentioned above $\\alpha=1.5$ is a typical choice, however this can be adjusted depending on how sensitive you want the outlier detection to be."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "laden-fitting",
   "metadata": {},
   "source": [
    "A data point is an outlier if:\n",
    "$$e_t = y_t - \\hat{y}_t > \\delta_{upper}$$\n",
    "$$e_t = y_t - \\hat{y}_t < \\delta_{lower}$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "partial-norman",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_ = df_deseasoned.copy()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "systematic-decline",
   "metadata": {},
   "source": [
    "The expected value $\\hat{y}_t$ is computed as the trend obtained from LOWESS:\n",
    "\n",
    "$$\\hat{y}_t = trend_t$$\n",
    "\n",
    "where the $trend_t$ is the value of the trend obtained by LOWESS at time $t$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "female-growth",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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pscCRPYzt65W7rzKzG4FPmtla4J+ECVefJ2Tw+hon2ZN/m9m9wH10XvfPEapLXBo992ozO5pQVeHJ6LPzNDCBkCE8jBBE3uruBTP7CiEout/MfkvIgMbXdJMK2jaPUAJtG0KZqOT2JkKZtf5m7O4lZKB/YWZ3EwL+eb30BFTqeEIm9w4zi8tMfZAwdOJid785cex5wH8DV5rZTwnX+nDK/ww/Thhz/kUzW0OoBLHE3fs9rMHdXzSzLwDnE97vPxJ+fuLKKB8mZLef7+NU/foZkAZX6zIC+tJXvX/RWV7laz3s347wR+aWxLZJhC7JeMLLCkLg91PgbSWP/wah2y1HolQLIWD7MeEXeCuhe+xbhC7F0hI9+5fZtmnyfH28xvcQulIfJkx4yRP+iN9C+IOeKjl+P0LgtSp6bX8DdqCCsjqEoOY3hD9G7dHz/YsQAMyIjtksOubfhDGvq6PvTwfG9/P9m0UIJFcTujT/RJhA1aUETuL4gwmZuuWEbM9iQlD+n4ljDiNkKF+MjllKCAo+UuZ8/fos9Pf9JgREZxJqm74ePf/zhIlDW5V5/s8S/oi3RtfwH8C+ZY7r6XocQ/cyUZMIQcbL0XkXRM9T7thy2/an++f1W4TxrEsS1/0KYNcybdqB0LX7UvTZeY2QOfwOMLHk2MMI41Xjc36PMG64bMmkHj5DEwg/E0702UzseynaflCZx91K95+H0YRJd68Rfm90XJtyx1f6sxwdvxMhiI8/w/8m/J5Jlzn2A4nr8zJhvPM25Z4vOnZ+9J474T8CPbavl8/U3oRM7pLo/XuZ8Lvmv4GWxHHPx89R8viKfgb01ZhfFr3ZIiIiIiJ1QWNQRURERKSuKEAVERERkbqiAFVERERE6ooC1DpnZovMbFGt2yEiIiLSl2rFLZokVefMrEioN7iyr2NFREREamw8oaLgOiVBFaDWuThAHT9+fK2bIiIiItKrlStXQhUCVBXqr39vjh8/fvyKFStq3Q4RERGRXk2YMIGVK1f2Z1W1XmkMqoiIiIjUFQWoIiIiIlJXFKCKiIiISF1RgCoiIiIidUUBqoiIiIjUFc3iHwbcnWXLltHa2kqxWKx1c0a8VCpFS0sLkyZNwsxq3RwREZGGowC1wbk7L730EqtWraK5uZl0Ol3rJo14uVyOt956i7a2NjbeeGMFqSIiIhVSgNrgli1bxqpVq5g6dSoTJ06sdXMksnz5cl577TWWLVvG5MmTa90cEREZIZasamXx8rXMmDiKKeNaat2cAVOA2uBaW1tpbm5WcFpnJk6cyIoVK2htba11U0REZISYO/9FTpy7gEzKKLhzxpxZHLbr9Fo3a0A0SarBFYtFdevXqXQ6rTHBIiIyJJasauWkuQtoyxdZ3V6gNVfkpCsXsGRVYyZKFKCKiIiINLjFy9eSSXcN67KpFIuXr61Ri9ZNj138Znb0QE7o7hcOvDkiIiIiUqkZE0eRK3TttcsVi8yYOKpGLVo3vY1BvQBwIDkF2RPfW5ltAApQRURERIbQlHEtfPvg7fjO1Y8BkE0bZ8yZ1bATpXoLUGeX3M8CPwI2AH4DPB5t3x74PLAM+Ga1GygiIiIifXvvDht2BKjf/3DjTpCCXgJUd78ted/MTgdagFnuviqx6xoz+yVwL7AvcPNgNFREREREepYrdHZqj25q7AnUlUySOgb4Q0lwCoC7vwn8Afh0ldolIiIiIhXI5TvHoJaOR200lQSok4HewvE0MGXdmiMiIiIiA5EMSvOF0ilCjaWSAPUJ4LNmtn7pDjObCHwW+He1GiYj2x/+8AfMjAcffLDbvpNPPpmWlhbeeOONGrRMRESkPrUnAtT2EZRBPRXYDHjSzH5oZp+Ovn5ECF5nAqcPQhulRpasauVfi96oSZHfj3zkI4waNYqLL764y3Z35+KLL+YDH/gA66/f7f9KIiIiI1ZyDGqjd/H3e6lTd7/azA4Hfgp8o2T3i8DH3P2qKrZN1kG+UOSVlQMPLK9/9FX+58YnyaSMfNH52nu24X07bDjg800b39KtgHBv1ltvPQ499FAuvfRSzjrrLMxCVbO7776b559/nrPPPnvAbRERERmOhlMXf78DVAB3v9LMrgZ2AzaPNj8L/MvdGztUH2ZeWdnKvmfdss7naYtuf/D3f/ODvw98BMcd35jNjImjK3rM0UcfzaWXXsptt93G/vvvD8Cf/vQnJkyYwMEHHzzgtoiIiAxHyUlSI6mLHwB3L7r7P939sujrnwpOZTC85z3vYerUqR3d/Llcjssvv5zDDz+c5ubmGrdORESkviSD0hHTxR8zs/2A9wBTgbPd/QkzGwvsCjzi7iuq20QZiGnjW7jjG6VrLfTP62+18bHz7qUt8T+x5kyKyz73DjYYO7DAcNr4yleySKfTHHHEEVxwwQX84he/4MYbb+T111/nk5/85IDaICIiMpwlx6COmC5+M0sDFwOHE5Y5deASwgSpPHAV8D/AGVVvpVQsk05V3KUemzFxNGceNouTrlxANpUiVyxyxpxZ7LzJ0E9KOuqoozjnnHO47rrruPTSS9lkk03Yb7/9hrwdIiIi9S4/QjOo3wQ+AnwVuJ5ESSl3bzWzK4EPoAB1WDhs1+nss9UkFi9fy4yJo2q2lu8uu+zCDjvswHnnncett97Kl7/85Y4JUyIiItKpaxd/Y2dQKxmDejRwobv/FFhWZv+/gS2q0iqpC1PGtbDbzPVrFpzGjjrqKP7+97+zZs0ade+LiIj0YDiVmaokQN0UuKeX/SsAFaaUqjvyyCNJpVLstNNO7LDDDrVujoiISF3KDaMu/koC1FXAxF72bwksXbfmiHSXzWYxM2VPRUREepEboV38dwKftDIDAKPlTz8DrHvhTZESv//97wE44ogjatwSERGR+tWeHz4Z1EomSf2AEKTOAy6Itu1kZlsB3wLGAD+sautkRJs3bx6PPfYYZ555Jh/96EfZaKONat0kERGRujWcxqBWstTpA2b2EeB84A/R5v8hlJxaAsxx98er30QZqU4//XTuvvtu9tlnH37yk5/UujkiIiJ1bTh18Ve61OnfzGxT4CBgO0JwuhC4wd3XVL95MpLdeuuttW6CiIhIwxhOk6QqXknK3duAv0ZfIiIiIlIHRuRSp9FKUs3JTKmZTQCOJczuv9TdF1S9hSIiIiLSp1x+BC51Cvwv8A5gBwAzywJ3Ebr6Ab5qZnu5+0NVbaGIiIiI9CmZNW1v8AxqJWWm9gGuSdw/nBCc/hfwTuA1wmx+ERERERli+eII7OIHpgHPJe4fDDzm7r8GMLPzgM9XsW0iIiIi0k/tw6iLv5IMqgHpxP396VqY/xVgShXaJCIiIiIVGk6z+CsJUJ8D3gtgZnsTMqrJAHUjYGX1miYiIiIi/dUlQC2OnAD1D8ChZvYoocTUEuCGxP49gSeq2DaRurXppptyzDHH1LoZIiIiHboEqPmR08X/U+C7QBvwIGHlqDUAZrYBYYb/36veQhmx7r33Xk499VRWrFhR66aIiIjUvfZhtNRpvwNUD77n7ru5+wHufm9i3+vuPsXdzxqcZspIdO+993LaaacpQBUREemHXH5kjkEVqUuFQoG2trZaN0NERKSmuk6SGqZd/GZ2dPRlJfd7/Rq6pstwduqpp/KVr3wFgM022wwzw8x4/vnnMTNOOOEELrzwQrbddluam5u55557AFi8eDFHH300U6ZMobm5mR133JFLLrmky7kvuOACzIx7772XE044gcmTJzNmzBjmzJnD0qVLuxzr7nz/+99n+vTpjB49mtmzZ/PYY48NzUUQERGpwHCaxd9bHdQLAAcuBdoT962XxzhwYZXaJrW26jVYsQgmzIRxU4f0qQ877DCeeeYZLrroIs455xwmTZoEwOTJkwG48cYbueyyy/iv//ovJkyYwLRp03jllVd4xzveQVNTE8cffzwTJ07k6quv5ogjjqCtra3bpKYvfvGLbLDBBpx66qk899xznHvuuXzpS1/isssu6zjmlFNO4fvf/z4f/OAHed/73sf8+fN5z3veQ3t7+5BdCxERkf5IjkHNFx13J8ozNpzeAtTZAO7enrwvDaKQhzdfGvjj/30tzDsdUlko5uCAU2C7QwZ+vvU2hnT/14XYcccd2W233bjooov48Ic/zKabbtpl/1NPPcXjjz/O1ltv3bHt2GOPJZVK8eCDDzJhwgQAvvCFL/D+97+fk046iaOPPppUqrPTYMqUKVx33XUdP7zFYpGf/exnrFy5kvHjx7N06VLOOussDj30UK688sqO404++WTOOOOMAV4IERGRwVGaNc0VnKbMMAtQ3f223u6vKzPbn651VJO2c/cnEse+EzgL2BV4E7gMODGuIpA4rhk4HTgKWB94GDjZ3W8u8/w1O+eQePMl+OmOVThRNLbzxpPD10Ad/wisP7MK7QkOOOCALsGpuzN37lyOOOII8vk8y5Yt69j3vve9j+uvv56nnnqKbbfdtmP75z//+S7/s9x3330555xzWLRoETvuuCM33XQT7e3tfPnLX+5y3AknnKAAVURE6k73ALVIU6YxpxtVstTpYDkX+FfJtpfjb8xsZ+Bm4DHgq8B04GvA5kBpSu8C4CPROZ8GjgGuM7N3ufs9dXROWUebbbZZl/tLly5lxYoV/OpXv+JXv/pV2ccsXbq0S4C6ySabdNm//vrrA/DGG28AsGjRIgC22mqrLsdNnjy541gREZF6Ubq8aSMvd9pjgGpm+w3khO5+e4UPuc3dr+pl/xnA68D+7v5W1Lbngd+a2QHuPi/a9nbg48BX3P3caNuFwKPAj4D96uGcQ2a9jUPWciBWL4ML3g/5xMz4TDMccx2MmTTw9lTRqFGjutwvRitmHHPMMRx55JFlH7PDDjt0uZ9Op8se5964P9AiIjJytZdkUEvvN5LeMqi3EiY99ZdFx5f/q9/bA83GAWvdPV+yfT3gIODHcdAXuRA4B/gPIA78DgdywPnxQe7eama/A35gZtPc/ZU6OOfQSGcG3qW+/kw45Gdw7QmQzkIhB4ecC9N3q2YL+1TJwO7Jkyczbtw43J0DDzywKs8/c2a4fgsXLuySbV26dGlHllVERKRelOvib1S9BaifHqI2/BEYC+TN7Bbgv919QbRvFqGNDyQf4O7tZvYQsEti8y7AEyUBIsD9hOB5Z+CVOjhnY9jp47D57JrN4gcYM2YMQL8K9afTaebMmcNll13GiSeeyDbbbNNl/9KlSzsqAPTXgQceSDab5ec//znvfve7O7afe+65FZ1HRERkKCQL9cMw7eJ39/8b5OduB/4MXAcsA3YkjNm808z2cPengGnRsa+UefwrwF6J+9OActPW48dulDiulufswsxW9LQvMr6P/YNn3NSaBKax3XYLGduTTz6Zj3/842SzWQ45pOfhvD/84Q+55ZZb2H333fnc5z7Htttuy7Jly/jnP//J/Pnzef755yt6/smTJ/O1r32NM888k0MOOYT3v//9zJ8/n+uuu66j7JWIiEi9KC3OP1y7+AeVu98N3J3YdI2ZXUvIQn4XOBKIBxqWWyaoNbGf6PuejiNxbK3PKf20yy67cMYZZ/DLX/6S66+/nmKxyHPPPdfj8dOmTeP+++/ntNNO4/LLL+e1115j0qRJ7Ljjjnz/+98fUBu+//3v09LSwm9+8xtuvvlm9txzT2688UYOPvjggb4sERGRqnP3bgHpcO3iL8vM0sC2hJJL3WoXDGCSVPKxD5vZTUDcn7o2um0uc3hLYn98bE/HJc9V63N24e4TetoHHRnW2mVRa+zEE0/kxBNP7LKtt0lMG264Ib/+9a/59a9/3eMxxxxzTLei/QD7779/t3OnUilOOeUUTjnllC7bK83GioiIDKZ8sfvfxmHZxV+OmX0T+BawXi+HVTxJqsRiOgPUuMt8WpnjppEoRxUd29NxJI6t9TlFREREqqpctrSRu/j7Xb3VzI4FzgQeAr5NmCR0LvBjYDmha/4zVWjT5kC8IPqjQB7YvaQtTYQJSg8lNj8EbGtmY0vOt2d0+3CdnFNERESkqnL5chnUERCgAl8A7nX32cB50ba/ufu3CBOcNqWC7KmZdZtSbWb7EJZUvQHA3VcCNwFHlQSJRxFm/l+R2PZnIAsclzhfM6EawV3u/nKdnFNERESkqsplS0snTTWSSrr4tyNkTqGzPmoaIKoFeh5wPPD7fp7vMjNbQ5gotQzYAfhc9P2pieNOjo651czOJ6zQ9N/Ade5+U3yQu99nZlcAZ5nZNOAZ4FPATMLqT9TDOUVERESqrVwXfyNPkqokg1oAVkffx7cbJPY/D3RdE7J3VwGTCUHcLwnLiV4M7OHuL8QHuft84EDCDPlzgM8CvwU+WuacRwM/jW5/Rsh+fsDd70oeVAfnFBEREama4RagVpJBfQHYDMDd28xsMbAvcGm0fw/CWNR+cfefEQK+/hx7J7B3P45rBb4efdXtOUVERESqqVx3/kjp4r8dOBiIa/5cAZxgZqMImdhP0v/ufamSVCpFLperdTOkjEKhQDabrXUzRERkBEhmS5szKdryxRGTQf0p8LCZjXL3tYRi+lsTxmQC3EgoQSVDqKWlhbfeeovly5czceLEWjdHIsuXL6etrY1x48bVuikiIjICJIPR0U3pkROguvuTwJOJ+6uBD5nZeKBQZr16GQKTJk2ira2N1157jRUrVpBOr2sZWllXhUKhIzjVkqgiIjIUugaoGd5YkxsxXfxlRSWWpEbMjI033phly5bR2tpKsdi4/1saLrLZbEdwama1bo6IiIwA7Yk6qKObQrJqRGRQY2Y2mlDzdANCsf4u1mWpUxkYM2Py5G5lZUVERGSEiIPRbNrIplNdtjWifgeoUWD6E0KR+nKPM0J9VPUxi4iIiAyhzgA1RTYTB6gjo4v/p8CxwN+BecDrg9IiEREREalIMkBtSluXbY2okgB1DnCJux85WI0RERERkcq1R9nSbNrIpEIGNd/AAWolK0m1ALcOUjtEREREZIBy+e5d/O0N3MVfSYD6AJUtZSoiIiIiQ6BcF/9IyaB+C/i0me0+WI0RERERkcolZ/HHXfwjZQzq54AXgXvN7B7gWaBQcoy7+7HVapyIiIiI9C3XMQZ1eHTxVxKgHpP4fu/oq5QTZvqLiIiIyBCJs6VNmRTZVON38Vey1GklwwFEREREZIh0qYM6DAr1K+gUERERaXDJMlPZTFwHdWR08QNgYXHxXYDNo03PAg+6e+NeBREREZEGlsygjrRJUpjZ+4BfATNLdj1vZl909xuq1jIRERER6Ze4DmpTOkVTZgQFqGa2N3ANsJqw7Olj0a7tCROorjGz2e5+d7UbKSIiIiI96zoGdWR18Z8CvArs6e6vJHeY2Y+B+6Jj3le95omIiIhIXzrGoGaGRxd/JZOk9gTOKw1OAaJtvwXeUa2GiYiIiEj/dGRQUzYsuvgrCVCbgFW97H8zOkZEREREhtBw6+KvJED9N/BxM+s2LCDa9rHoGBEREREZQh0BamZ4LHVaSYD6a0I3/81mdrCZbRZ9fRC4Odr3q8FopIiIiIj0rD3ffanTRg5QK1lJ6nwz2wr4GrBPmUN+7O6/q1rLRERERKRf8sXOMlMdS50WG7eLv6I6qO7+TTP7HXAosFm0+VngGnd/qtqNExEREZG+lV3qND8CMqixKBD98SC0RUREREQGIFemi7+9gSdJVRygJkWTow4FJgLXuvurVWmViIiIiPRbe2KSVGcXf+NmUPs9ScrMzjKzfybuG3ATcDnwv8ACM9ui+k0UERERkd7EXfxNw6SLv5JZ/O8D7kjcPwTYj9Ddf0S07VtVapeIiIiI9FOXMagds/hHRhf/DGBh4v4hwHPu/i0AM9seOLKKbRMRERGRfoiD0WxiFn+uWMTdCZ3ejaXSlaTyifuzCV38sWeBadVolIiIiIj0X3vUnZ9JW0cG1R0KDVpqqpIAdTGwF3RkSzcHbkvsnwK8Vb2miYiIiEh/lBuDGrY3ZoBaSRf/pcB3zGwKsD3wJvD3xP5dgGeq2DYRERER6YfkGNRMqrNLP1csMop0rZo1YJVkUM8ELiBkUR042t1XAJjZeOBDhCVPRURERGQIdY5BNZoyiQxqg87kr2Sp0zbg2Oir1CrC+NM1VWqXiIiIiPRTZx3UkdfF3yN3LwIrq3EuEREREalMPjEGtUsXf2GYZ1BjZjYV2B1YnzJDBNz9wiq0S0RERET6oVB04sn62XSqaxf/cA9QzSwF/BI4jt7HripAFRERERkiySA0m7YuGdT8CCgz9TXg88AlwKcAI6wc9V+EAv4PAAdVu4EiIiIi0rP2LgFq50pS0FkftdFUEqB+Crje3Y8Grou2/cvdfwPsBkyKbkVERERkiCRn6jdlUjSlG7+Lv5IAdXPg+uj7+NVmAdx9NfAHQve/iIiIiAyR5Ez90jqoI6GLfy2Qi75/i1ALdUpi/6vAjCq1S0RERET6IZklzaSMdMqwKEZt1DqolQSoi4AtANw9BzwNvC+x/0Dgteo1TURERET6khyD2pRJYWYdtVDbR0AX/zxgTuL+H4FPmNktZnYr8FHg8iq2TURERET6kCuZJAWQjbr58yOgUP//ADeaWXO0qtSZhC7+TwIF4Dzgu9VvooiIiIj0JJdPjkENgWk2k4L2QsNOkqpkqdNXgFcS9wvA/4u+RERERKQGSstMJW9HQhe/iIiIiNSZ4djFX1GAambjzOwUM7vTzBaa2V7R9knR9m3XpTFm9g0zczN7qMy+d0bPu8bMXjWzn5rZ6DLHNZvZj8zsZTNba2b3mtm7e3i+mp1TREREpBriIDQdzeAHOor1N2oXf78DVDObTFgt6jvABoS6qKMA3H0ZoZD/5wbaEDPbEPg2sLrMvp2Bm4EW4KvA+YRVrS4rc6oLgK8AFwHHE2q2XhcH03V0ThEREZF1Fgeh8fjT8H1jB6iVTJL6PrAhsCfwArCkZP/VQNmsYj/9kBAAp4AJJfvOAF4H9nf3twDM7Hngt2Z2gLvPi7a9Hfg48BV3PzfadiHwKPAjYL96OKeIiIhItbR3BKidece4WH9uBHTxfxD4lbvPJxTpL/UsAyzUHwWBnyRkHUv3rQccBFwYB32RCwkLBvxHYtvhhMUEzo83uHsr8DtgHzObVifnFBEREamKOEuaXOK0aaR08QOTCMX5e1IkdG1XxMwM+Dnwf+7+UJlDZhEyvQ8kN7p7O/AQsEti8y7AEyUBIsD9gAE718k5RURERKoi10sGtVGXOq2ki/9VopWkerALoeu/UkcDbwM+3MP+adHtK2X2vQLsVXLsSz0cB7BRnZyzg5mtKLc9YXwf+0VERGQEi+ugZjPdx6C2j4ClTv8OHBt3aSeZ2Z6EQPPqSp7czMYRxp7+MKqzWs6o6LatzL7WxP742J6OS56r1ucUERERqYqOMaip4dPFX0kG9TTgQ8CDwDWEcaifMrPPAocBLxMmDVXi20A78JNejlkb3TaX2deS2B8f29NxyXPV+pwd3H1Cue2xKMOqLKqIiIiUNaK7+N39VTN7B/AL4DOE8ZdHEQLVvwNfcPfl/T1flIk9gVC2amoYigqEYK7JzDYFVtLZZd4tcxttezlx/5VejiNxbK3PKSINbsmqVhYvX8uMiaOYMq7i4fciIlXTEaCO0C5+3H2xux8KTCSUm3oHMNndD3H3Fyt87qlAEyHr+lzia09gu+j7bxLKOeWB3ZMPNrMmwgSlhxKbHwK2NbOxJc+1Z3T7cHRb63OKSAObO/9F9v3RLXzy/HvZ70e3MHd+pb/+RESqJy4llcygjphC/Unu/qa7/9Pd768ka1riOWBOma/HgOej7y9095XATcBRJUHiUcBY4IrEtj8DWeC4eIOZNQOfBu5y95ej9tf6nCLSoJasauWkKxfQli+yNlekNV/kpCsXsGRVa98PFhEZBHGWtEuA2uBLnfa7i9/MtgS2dPfrE9v2JIwjnUgoE3Vef88XBXRXlXmeE4C8uyf3nQzcDdxqZucD04H/Bq5z95sS57zPzK4AzoqGEDxDWOFqJnBMyVPV7Jwi0rgWL19LNpWilcTa16kUi5evVVe/iNREuTqojb6SVCUZ1B8RutwBMLNJwHXAe4EdgF+b2Yer2rpItDjAgYQZ8ucAnwV+C3y0zOFHAz+Nbn9GyH5+wN3vqrNzikgDmjFxFLli11/4uWKRGRNVqENEaiOeCNVlqdOoi7+9QQPUSmbx7w4kM6SfANYjjK98CriVsE79VevSIHffv4ftdwJ79+PxrcDXo6++jq3ZOUWkMU0Z18IZc2bx1cvD8PN0yjhjzixlT0WkZoZjF38lGdTJdJ2J/j7CGMxHo9WSLiUU3BcRGdYO23U6Y5vT4ftdNuawXafXuEUiMpJ1zuIfmV38q4EJAGaWBvYBbk/sX0vIqIqIDHvtUVais0KeiEhtlB2D2uBd/JUEqI8BR5vZBoSxlWOBfyT2zwSWVrFtIiJ1qVj0ji611lxj/vIXkeGjs8xUYgxqg3fxVzIG9ceEpUyXRPcfBO5I7H8PML9K7RIRqVtticLXrblCDVsiItKZJc0Mo1n8lawk9TczOwA4lLDC0y/c3QGirOqLwIWD0koRkTrSlu8MSlsbdJUWERk+cvnuXfyZkRKgArj77XQddxpvfx04rFqNEhGpZ8lufWVQRaTWOiZJJbv4o+9zI6CLHwAzGwPsRViq9CZ3f63qrRIRqWPJoLRNAaqI1Fi5pU6bRtJSp2b2BeAl4EZCd/720fYpZtZqZp+tfhNFROpLa7KLX5OkRKTG2gvd66BmUuH7uIh/o+l3gGpmHwF+CdxCWJe+I4/s7kuA64EPV7l9IiJ1py3ZxZ9XBlVEaqujzFSXOqghTGtv0HHylWRQvw7c4u5zCLP5Sz1AWPJURGRYS3bxawyqiNRauTGoI6mLfxZwZS/7XwGmrFtzRETqX2uXMlON+ctfRIaPfJkxqCOmix8o9HH8RoTVpkREhjVlUEWknpQbg9oxi38EdPE/DLy33A4zSwEfBf5ZjUaJiNSzZKH+tnyRqCS0iEhNjPSlTn8BvN/MvgdMjB9vZtsAVxBm9P+syu0TEak7pVnTtgbNUIjI8JDLR138meRSp43dxV/JSlKXmdks4GTgxGjz9YTZ/Aac6u7XVb+JIiL1pbT2aWuuQEs2XaPWiMhIl+uli79QdApFJ52yso+tV5WuJPVtM5sLHAlsSwhMFwJ/dPcHBqF9IiJ1p3RilCZKiUgtxd348cQo6OzihxDAplON9Z/oileScvf5wPxBaIuISENoy3fPoIqI1EpnHdTuXfzQmN38Fa0kJSIiZTKoKtYvIjVUbqnT5HjURpzJ32MG1cx+P4Dzubsfuw7tERGpe6UZU3Xxi0itxGNMoXwdVGjMYv29dfEfU2ZbnCMuHWnr0TYHFKCKyLBWmjFVF7+I1Eoy+EwGqMmSU7nh1MXv7qnkFzAVeIiwzOk7gQnR197ANYRxqVMHub0iIjXX1m2SlAJUEamNZIDaNIy6+CsZg/oTYIm7H+bu97r7m9HXPe4+B1gWHSMiMqy15jWLX0TqQzz+FLoGpZkuk6Qa73dUJQHqB4Bre9l/bXSMiMiw1r1QvzKoIlIb+X508bfnh1EXfxnNwPRe9k+PjhERGda6BajKoIpIjbT3p4u/ASdJVRKg3gl82cz2K91hZu8CvgzcVa2GiYjUq9KlTVVmSkRqpUsXfw+z+Buxi7+SQv1fJQSpt5jZA8AT0fZtgd2BN4H/rm7zRETqT7mlTkVEaqHrLH4r+30jdvH3O0B198fNbFfgDOCDwB7RrreAy4Bvu/uz1W+iiEh90VKnIlIv2hM9OplEBtXMyKaNXMEbsou/oqVO3f154AgzM2BKtHmpuzfeKxcRGSDVQRWRetFTmSkI3fy5QmHYd/F3cHcHXqtyW0SGvSWrWlm8fC0zJo5iyriWWjdHBqh7HdTG++UvIsND1zGoXddRyqaNtblh3sUvIuvmsn++wLevepTmTJp8scgZc2Zx2K69FcaQehVnUNMpo1B0TZISkZqJM6hm4XdSUlMm1eWYoeDuZNKppnU9jwJUkSGwZFUrJ1/5KPmikyvkATjpygXss9UkZVIbUNylP2FUltdXt6uLX0RqJi4zlU2nCCMwO8Uz+Qezi3/Zqy+wbPFTTJqxNc/d91esbRVjMoxa1/MqQBUZAouXr+22LZtKsXj5WgWoDcbdO7r0x0cBquqgikitxMuYlo4/hc5aqLkBdPH3OiRt1WuwYhEP3jePbRecTTNpmmhnV4pAdYYTKEAVGQIzJo6i6F1/aHPFIjMmrvN/MmWIJYtijx+dBTRJSkRqJx6DWjr+FEIiBLr+3uqPKx5YzElXLqA5kyJfdM5+/4YcPCMHE2bCs7fg1x5PoQg7F1qx7k9bFQpQRYbAlHEtbDF5DAuXrCZtRjZjnDFnlrKnDSg5IWrCqChA1RhUEamRXKKLv1S8Ld+PADXOmL66ci3f+PMjTGIFM4pL2MGe44AbLqHYlCWVb8O9gOEhgCwJTr2Kc7HWOUA1s0nA+u6+sArtERm2xrWEYGbmBqO59PPvUHDaoJJF+ieMDvMANItfRGql1wA17uIv9B45zp3/Ij+ZewcbsYTn8pP4cGoBZ2bPx3FayIcsaa4d6BaTdm0L6T6O6L9+B6hmdjSwj7t/LrHtTOAb0ff3Au9z91VVaZnIMLOmPQQ2qZQpOG1gyWB0/Ch18YtIbcXBZzxjPymeJJXraZLUqtdY/vJTPHrln7kp/SccI5vOkcZ77Lp3p8s+d1jNKNIUeHTX0/DmE1mz+q3uEy8qVEkG9fPAk/EdM9sd+CZwO2HZ02MJy6Getq6NEhmO1kZBzNp2BTONrC3Rna8AVURqrTOD2j2ijCdOxZOkkjPuJ71wA379iaxXLPKdVKHfY0lzpCl6inYyZCnw4+IRvP8972ezrd7GHhtugtlJ5AvF9nV9XZUEqFsCVyTufxRYDrzH3dvNzIH/QAGqSFlxYLqmPV/jlsi66DIGtWOSlLr4RaQ2unXxRzPsmTCTbMaYzAomrXiIRy67iG0f/wXr4WQogIXO+J7GkpZmSd+ihQxFTikcx12+I5tnlvF8cRJfnbMvewxCTe9KAtTxwMrE/XcDN7l7HCU/AHyyWg0TGW46A1Rl2xpZckJUHKC2aZKUiNRIe6HIZFaweeuLrLrtYcbd8T1IN0GhnW+kd2D75vmkHnXMe+62L1W0NOlMlmIqS1tbG2fmPsGjvhmLfQqrshOZ+1/vZG17cVBXRawkQH0V2ArAzCYDOwN/SOwfC+i3tEgZ7s6aqBu4LV+kUPRuK35IY4i789MpY0xTJtqmDKrIcFdXS1UnsqQtj13O7c3nUFidYsy81pANzbcCsFP+gc7saD+ypLnMGLJWIH3IT2Hz2aRWLGLe4iyXX/cq2VSKXLQK4tumjR/0l1hJgDoP+C8zWw7MJlRi/Vti/zbAS1Vsm8iwkSs4hWLnLMrWXIExzary1ojiovzNmRQt2TSgMagiw93c+S/yrbkLyKSMovugLVXdn+L4vPQgftMpFCxLKt/K0cUCGSv/n2Sn5zn13caS+hF86T8OZ+JGW8O4qeGgcVM5eAbsMWvog/NK/kKeArwTOCu6/313fx7AzDLAR4C/VLV1IsNE6cSoNe0KUBtV3MXfkk13BKj5opMvFMmUKfMiIo1tyapWTpy7gPZ8kXhM42AsVT13/oucOHcBTemQqTxt9iR2GrcyTGh67W782uMpkiKVXxONHQ1Z0ko645Iz7q+d8XV+tmgGm6Y6x5JO3KZ80D1lXMuQZ437/RfS3V80s+2BtwEr3f2FxO7RwOeAh6vcPpFhYU2u68QozeRvXHF3fksmRUu2MyBtzRcZqwBVZNgZzKWq44ypu/P1Kx5hor/BjEIojv+h2y4hT5omchSsSJoi6TLnKNdV781jSRUL3DP2QHZ54wZypMlS4FeZozj4vR9g0iZb8x8bbsL+9TRsoURFKRx3LwALymx/E7i6Wo0SGW5KJ0aVBqzSOOLu/GQGNd4+VllxkWFnxsRRHTPlY9VYqnru/Bc56coFGMbaXIE5qTs4o+l35Ekxlv4vIRp31efIkiHPE7O+xi57zoYJM7nmxtc4/tX3M8OWsNincOS+e7Dt27fueGwtMqP9VdFvUzNLA0cC7wGmAt9w9wfNbH3gEOBmd9c4VJESpRlTZVAbV1s+/KFqyqRoThTG1jhUkeFp/dFNZFNGW2I1ppM/sN06BXZLVrVy0twFjMsvZ4YtIU2eH2XPo8nK/x7prezTd/04jv3UZ/Dli5g0Y2t22XCTjuOy6aUsZQJLfQIAh+1S/XGzg6WSlaRGAzcSxqGuJnTrrx/tfhP4IfB74NtVbqNIw1ubU4A6XPScQdVMfpHh6F+L3ugITrNpI1fwLj/75fQ12Wn544/wJS7h881/xXDSFHvNmJZOaDoz9wmezm7JC8XJfHXOvmyzxXTYYqtuj0suf7rz9PFsssHo/r/wGqskg3oqsDswB7gbeC3e4e4FM5sLvBcFqDIE6qrcRz906+JXgNqw2joC1BQtma5d/CIy/Nzy5BIA3jZtPTadNJq/L3iVGx57lY/uPqPs8XHXfVyW6ez3b8jBM3Kw3sbwz/Pxu37K1l5g25IIrLclREsnNB138Ds4dPqEPv8GPrfsrY7vH33lTebOf3FQqg8MhkoC1I8C57n71Wa2QZn9TwMfq06zRHpW+sM/WOU+qqnbLH4FMw2rNerib8mmaU5MklKxfpHh6dYnlgIwe9vJbD11HH9f8Cq3L1zGW235buPOl6xq5VtzFzA+6rrfzZ7koBuuwNNgxTD3wChf+qmQaiaTcsi0QCHHqn2/w8ujt2HSjIFNaFqyqpXbFy7ruJ8v+KBUHxgslQSoG9H7LP01wLj+nszMdgdOBnYFphBWqXoION3d7y45Ni5vtSthOMFlwInuvqbkuGbgdOAowvCDh4GT3f3mMs9fs3PKwMXjdlrzRVoJgUIj/MCtLZkU1aoMasOKM6jN0RhUs5DpUBe/yPDz8oq1PPnaKgBmbzOFbTYcR1M6RXu+yG1PLuXgHacBnWvc//WFLEf5tXyr+VKMImmi1Zv68eshk07BcTdBbg1MmMl646ayXmJ/pROaFi9fSzZtXWpwV6v6wFCoJEB9Hdi4l/3bAy9XcL4touf/LfAKMIEwAet2M3u/u/8DwMx2Bm4GHgO+CkwHvgZsTpiYlXQBoR7ruYSM7jHAdWb2Lne/Jz6oDs4pA7R4+VqsZKBOI/zAde/i1yz+RtVRZiqbxsxozqRozRXVxS8yQPU8ZOvWJ0P2dPyoLDvPmEAmnWLvLTfglieXctfDj3Hw+ot58N55vO3RHzMO+Cp5Utmez1euG7/YNIa0F+GQc2HDHarW9nJVBqpRfWCoVBKg3gx82sz+p3SHmW0GfAb4Y39P5u6XETKMyfP8GngWOB74R7T5DEJwvL+7vxUd9zzwWzM7wN3nRdveDnwc+Iq7nxttuxB4FPgRsF/iqWp2Tlk3MyaOIl+sfrmPwaYu/uGjo1B/NP60JZuOAlRlUEUqVW9DtkqD5Xj86b5bTSKzZimsWMShW2aYuvBmTn36/yg+4+zshYpLQnVZvenwktWbqmTKuBbOmDOr2/Wtt/8E9KSSAPU04AHgn8AlhBW03mdmBwH/CbQBZ65LY9x9jZktJWRTMbP1gIOAH8dBX+RC4BzgPwhLsAIcDuSA8xPnazWz3wE/MLNp7v5KHZxT1sGUcS18fPcZ/PG+sE5EcybVED9wKjM1fMSZ0nj8aQhUc8qgilQoXqGprU6GbJUGy99510TefOpeJjOJT416Bs79HgCHFto5NJvIhPZjjfu4JNQpheO4y3dk80zfqzdVw2G7TmefrSbVbYa6N5WsJPW0mb2bUErq9Gjz16LbR4Gj3H1xpQ0ws3FAM7AB8Clgh8T5Z0VtfKCkLe1m9hCwS2LzLsATJQEiwP2Ej8/OhKEEtT5nF2a2oqd9kfF97B9xdpg+Hu4L31/4mbez5+bl5uzVl9KMqQLUxtWWmCQVbkOg2qpJUiIVGYoVmvoMyqL17ZdlN+TEuY+xXjS5aZY9w+F3XMJH0kY2nSOVmIFjHf+UlyNNNp3B0020tbVxZu4TPOqbsdinsCo7kbn/9U7WtheHLGCs52L8val0Jal/ATuZ2Q7AdoS3aKG7P7gObfgDYYwnQDvwG0J3OcC06PaVMo97BdgrcX8aUG6RgPixG9XJOWUdrW7rDAT6qkVXL9TFP3x01EGNivTHn8E2dfFLg6rVGNAZE0fRXrJCU3th3Yds/fmBxXxr7gIyaQOHMw4rGTYQBaW89CB+0ykULMv4fBv/a9uwT/NjgHdObupBbyWhHt31NPY44CPYikXMW5zl8ute7dLF/rZpyjv1x4DW5XP3RwlZ02o4DfhfwqSiowjZ1CxhyED8KW0r87jWxH6i73s6jsSxtT5nF+7R8g49iDKs+jQnJIver26QyUbq4h8+4rGmzVFgGt8qgyqNKO7WzqRS5Id4DGhbroh7120zNxjN5LHNAz5nXOZp/eIbzPCwvOdPrryD/cdMD+M8n70Frj0eMDy/FgMy0Z/0/dPdVnLvUBqQdhtLWjyC97/n/Wy21dvYI17JadxUDp4Be8yq30lg9azmC0e7+wJgAYCZXUToJr+AMP4zzv+X+7S2JPYTfd/TcSSOrfU5ZR2tbusMSte0NUZQUJox1Sz+xtWaKDMFnZlUTZKSRrNkVSsnXbkg+uwO/RjQax8JhX8mjm7iuH035awbnuKp197iJ/94iqP2mtlnG+LSTpNmbM2kMc2wYhG3PG0cwu2c0fw78qRpoRXDsEvTuOcxOiPi0gRpaRCaFHfbW6YZCjkennUKX3lg/Y7C+V+dsy979BDYN2oXe631GKCa2bMDOJ+7+xYDbYy758zsauDbZjaKzi7zaWUOn0bXslav9HIciWNrfU5ZR8mSTQ2bQVUw07Dau41Bjbv4G+M/SyKxxcvXkkmlSBbpTJsNWdm+ax4Kfxo/tPNGfHH2Vtzw2Gs8/OJKfj7vac67/VnOPGwWh22VDd3xE2aybHVbR0D63H1/ZYf536WFNM20UkylcEvzkWKOj2adVJdA08Er/51brts+bsse46Yy9wBlRgdTbxnUFwDvZf9gGUX4j804wjCCPGGJ1bnxAWbWRJigdHHicQ8Bx5vZ2JJJTXtGt/EQ51qfU9ZRMvvYKEuGlhbqX9sggbV01zEGtXSSlAJUaTDlxoCuyRXYaPwgB1urXmPxs//m9VdfAiYwZ6sMy5+8g2WvvshkisywJSzOT+Heq37JnKbfY6k0xfa1THAYR4oMeSZC1yDUC+ELep3A1NsM+6t8Hz6evRtLN3VbySnZbR9TZnRw9Riguvv+g/nEZjbZ3ZeWbFuPsKTqYndfEm27CTjKzM5IBIlHAWOBKxIP/zOhqsBxhKL68SpQnwbucveXAdx9ZY3PKetodTKD2tYYgV4cSI8flWXl2lzDBNbSXedSp10nSamLXxrNlHEtfGinjfjzv17s2OYOv73jWQ7ecaN1ygx26X7fcJOO+xuveYJxd3yPKZ7m9uYcN6T2Y8e/3EGRFLelW7E0FEiRpkAKsOhXfIoQkGb6sSRTX131ybGjZ+Y+wcLMliz2yXx1zr5YImNbupKTDK1ajkG9zMxagbuBV4EZhMBvOqE4fuzk6Jhbzez8aP9/A9e5+03xQe5+n5ldAZxlZtOAZwhlq2YSVn+iHs4p625NWwNmUKN2bjC2iZVrc5ok1cA6x6BGGdSMJklJ43v7puuz1dSx/Om+xfz+rue55P7FON590lQ8A76kyz0ZhK54+n52euIcmkiTpcDdo/dmtzV3MBajmRxYNGHD4FC/CctDOroPkKbvn6W+gtBMOgPpJvJtYaXxVprIUuCk3LHcWZwVsrQ+hTcz6/PLT+zGjtPHdwbjVS6YLwNTywD1IuBo4P8R1rhfAdxLqKd6W3yQu883swMJKzedQ1jj/rfAiWXOeTTwveh2feAR4APuflfyoDo4p6yDZFDaMAFqFNRMGtPMs0tXd6lEII2lrVsGVV380oCiQPP5519iMmv4+LQ29tptNy6+fzGTfAUz8iGAO3vu7cxYPZHNtnobk167G7/2eAqWxXJrGO8wiiwZ8jwxZme2WP0g44AmwspKcfmad669pcdu994WYOpPJjRHluaogE4chH7Xj+Mbn/0Ck3Kv8o/FWc687omOyUz77b49qx58iYWpSeSKRc6cM4sDt1NAWo8qClDNbAvgK4QxmOsTsu5J/Z4k5e6/JxT978+xdwJ79+O4VuDr0VfdnlPWTdcAtbG6+CeOaepyXxpLrlCkUAxD80snSamLX2ohWcM0tXpJ2YzmpBlbA3Tue+1uuPZ4iqksF7etgWZILWgh9XCO32V3YB97hCJGhjwGFG9KkbqpgBtdyjKlDbJRtnPbNQ/0Hm32oK8gFEuTJ0umGJ6zjWYy5Hl019PYbM8PsmzxUzy8ajw/v+XpLjPqJ204HdgkKvO0XZfJTCcctLUmNzWAfgeoZjYLuJOQmX8S2Bx4jLAC1IaE7u8XezyBSJUkZ+6vbpAyU3GX/sSxTV3uS2NJZknjrv2OOqjKoNa9WhWkX1flyikxYSaXPN7GT6++kxmpJWxXfJYTs5fQRJom8tzRtAdvb7+fMaTIksOA9UiRphgFmk6KVpri4DC/GoADUvO7Pf+6drn3NjHpGvbjo+k7SWWaoH1tSHtlRpHPtfHN1s906Y4/cLspfOpt1mXS0qQNN2FbYPYes3p8b0snM2lyU2OoJIN6OmGlp7cDrwNLgOPdfZ6ZfZaw+tOh1W+iSFdrGyyD6u6JLv4QoLYXiuQLRTLp0k4IqWfJLGlzaRd/XhnUejZ3/ot86y8LSKVCgHTmYbPqao3ynrKdcTmlZtI0004hZRDNMt86P4M7s8/jOJm0d+lW3zd3d7eMZn8Czd70FoSWOzYu0fTIxPey4/IbyJMhQ77b0p/v/uw5TMq9ChNmhgevWMTrqalc9fNHcWBptJ7NlQvzfOWw2Uwq814p6Bx+KglQ9wHOc/cnzSxe/NwA3P23ZrYv8EPgQ1Vuo0gXyZn7qxsgE9me6BaOu/ghlHNZTwFqQ2nLd8+gxreqg1q/lqxq5cS5C0JJpeht+urlD5NNGy2ZdMcSlIO+glIPE4weue1K9nr8+x1BqAGjyZAhx644aUtUfHQgH34H7pYeSLnyygLNpOQM+Bbagc4u99Ig9KFtTmD9rfZk0oyt2TMx3ODhVeO5/JZlXZb+jLvjO4ybyouL3qA5m+ryn8JsOjVkNVql9ioJUMcRuvGB6JMJYxL77wLOrEajRHqTnGC0pgHKTCUzvhsklvBrbS+wXku2Fk2SAUr+sexeZkoBaj0o142/eHn5xfxyBSdXCL9DeltBqaKhAYkgFOj8/tlbuk0wioPQd5UGoXSO7exNJd3qSfGqSG8V0jR7G5lUilTTKCjkYKePw8OXQjpLoW01Be8MQq+d8XV+tmhGx1jPL8/ekp3GrewWhE6asTV7bbhJl+ectOEmie74vq/njImjulVizxWLYbuMCJUEqK8Rxpri7qvMbDWwdWL/+kSVIkQGS3u+SK7Q+VurETKoyYB6g7GJDGoDtF26Sgahzd0K9auLv9bmzn+RE+cuIJMyCt5ZImnGxFHkCr2/P9lU+excvFZ9MuOXzLR2GR+amOWezq8Fg2IqS6qQw71IimLZCUa9qUa3euks9/PHf5mD5xzJ1867hsU+hblfeCczUktDID1uKux/IqxYRHrCTN5IZHr/Y8NN2L+XYD0OQvvSn+74KeNaOOOwWd2uvbKnI0clAepDhJWSYrcRVlm6nzCs+Ut0rqwkMihKx5w2wopMyUB0gzHNZbdLY0h28TdnSjKoqoNaU3E3flu+GIVjnVnRQtGJRtkwKpum6EWKTpf/7JZm55asauWRF1fyzb88woTCGx0TdU66cgHbj1+LL1/UUe9zVDQRqWBOOhGE4pAuht9Rg1FO6Srfh49l7qaYypL2HKv2PaVj5aPSjCbA3267l188mGPl6xNJPe/M962ZOKaJ6ZtsCrZZ55OOm9pRC3TSOLoEnUM51vOwXafX1ThhGVqVBKgXA/9lZqPcfS3wHUKQeku0fy1wUpXbJ9JFaVDXEBnURBuTY1BLlz+V+tcWZUnNkgGq6qDWg8XL1+Je0k0eZUUfeH45ABNGZTnv6N3YdNIY7ly4jG/+5ZGOIPUze2/WEQDNnf8iZ8+9g2nFV/kEz3Fi8yXkotnxdxffxuYXPgo4GYoVZTcrCUL7W04ptVWWVA8rH5VmNP9jzsac++TNtK/J8bObFwKwy4wJ2EAGpA4RTX4aufodoLr7ZcBlifsPmtn2wGGEdeivc/eBjdgW6afSDGpDjEFNBC4TRmdJGRQd1rarS7jRxFnS5kyq4496x0pSuSLuXtd/7IezMc1p2gtdA9S2fMiKnnzlSwAcuvNGvH2zMMf3sF2ns9+0It+76Drufn0sjy9ciL9tJcsy07hr7q+4OX0+xTSMItdldvwB6Z47Cvu7xGbpBKNkEFo6i79f5ZT6ufLRqKY0n3zHTH4+7+mOBSe23nBcvx4rMtTWaSUpd18M/LRKbRHpU2nd0zW5AsWik0rVb1AQZ32zaSObTjG6KcNbbfmGKJElXcXjTONufegsNwUhIEruk6Fz+T87y3DH/wmcNr6ZN1bneOLVVQB8ZJssLL6/Y9LSpGuP52zLUmxeTWoZFP6QZgPP8T/pgU8+Kg1C4+74bxeO5V52YrN09wlGySA01tNYznXNKB6110x+dcvTxLH87+54lq2mjB38CgYiFRpwgGpmGUJN1I2Bx939saq1SqQHpV387iGrNbqplqv29i4eJxsHLqOa0rzVltdypw0o7saPu/fD950BaVtOAWotvLJyLRfdtwiALx2wJVPGNXPK1Y+xaPlaTr9kHrvas+wz5kVm/fkzoYZorhW8AF4I40XjgNOjXo0K/r+bnJiUnOX+dG4iZsYWmddDd/xh+/LNuhlPacRT5NsL3msFA5Fa6fWvupntT+jC/767L0ls3wy4Ctghse3/3P0zg9JKkUi5rOPqtjoPUKOgZnRTFKBGAYwmSTWeuFs0GYQmv2/NFxiPSocNtbOuf5L2fJGJo5v44u5jGb36Jf65RZrMc7dyxorz8SZjVK49ZD7zrX2er9vKR4A1jYVigWc3+iAbLbq6bL3P0lnuQLeAtNZB4OLla2nJprqM3++pgoFILfX1V/0YYC93/38l2y8AZhFqn94HvBf4lJnd5u7/V+1GisTKTYoKQWtz94PrRByIxkF0HKhqudPGE2dQWzLJADXVbb8Mnf+97RnufPAxdrUl7Nj+HM2/OBLSKX6aa4NskYGM/smRJp3K4Okm0p7DDjodNtoFJsxki3FTWfbqKT3W+yy3rGY9mTFxFIWSyWSqLyr1qK8A9e3AjckNZrYtsC9wu7vvH237DvAgcDSgAFUGTdxdPq4lw6rW8H29ZyLjQDTZxQ+oi78BdY5B7QxKu2RQVQt1nfRWEL/cUqAPvrker8/7HXc1XwE4WYpYESiG2oe9dtVbBtIZiqks+bY1QOd40e/6cXzjc1/oXH6zZBJSf+t91qMp41o4Y47qi0r96ytA3RBYWLJtf0KPx/nxBndfa2YXA1+uautESsSTpCaPa04EqPU92Whte9cu/vi23tst3XWOQe2hi1//6RiwufNf5KS5C8imQ9B09vs35OAZOZgwk3/O+0vHevQttJLCGA9sQxHrZURFt656B28eS6pYgEPOhc1nk1qxiH8sznLmdU90Kd/UbfnNYUT1RaUR9BWgNhPqmybtEd3eVrJ9MTC+Go0S6Ukc1E0YlSWTMvJF7zazv96s6TYGNfzY1XvmV7qLx6AmZ+63ZNTFv66WrGrlG39+hPWLbzCjsIQd7DkOuOES8tkmUoU2di3mS5YC9X4tW1i0NLmovmiGPE/M+hq77Dm7a1Z03FQOngF7zNpuRAVsqi8q9a6vAPUFYPuSbfsAS6ISU0mjgRVVapdIWcnxnKOb0rzZWv/lmnrq4lcw03g6xqAmsqaZdKrjP0uteXXxVyRat/7396zlEG7njObzcYxRxBOaQqmm3rrqe5vQlD7kXN6Y+s6OoQG79NItr4BNpL70FaDeARxtZue7+6NmNgfYijBJqtQs4KUqt0+kizWJ7vIxzRnebM3XfQa1Wxe/ZvE3rHip09JSUi3ZUDpM/+nortu40igo5aUH8ZtOob1o/HehjXQvE5r6qj2aSWcoprpPaGLcVCbRc01REalffQWoZwJHAg+b2evABkA7cHbyIDNLAx8C/jIYjRSJrY5WjhrTnGmYsZzduvibFKA2qngSVLIOKoRJU2+1KSsei4PSBS+u4Pzr7+0Y23nO7m+w+yOnhhW3iu0YUf2NPmba97UU6B4HfKRjuc/+rqokIvWt1wDV3Z8zs3cB3wW2BO4n1EQtLco/G3gduHpQWikSiYO9UVEGFcqXnqonceWBeOypykw1rs4MatcANZ401aZZ/Fxy/wv87Oo7mc4StvNn+Uf2YhyjKZUjPd8xKx+PlpvQ9BYtZCjyXT+OYz/1GXz5oh6XAlVgKjK89Fnd3N0fAA7p45ibCF38IoNqTZxBbUonMqj1HejF7RvVFIKauFC/ykw1no4yU5nSLv7w3rbmR+Z7uuzVF3j5uSe48eUWXvrX37g1ez4ONJPvsWu+VNxVn8o0k8+1cUb+EzxlW3bMqt9mi+mwxVYdx6vbXmR4q9/ld0TKWN1lklQ0G76tvrv4O1eSCu1VF3/jKjdJKnl/OHfxdxlLysowjnTCTO67+c/s9OB32QrjbeRIZ73f69iXZkm/8dlQezQzYSb/yfgRNateRLpSgCoNJTnhKM6g1n8Xf5RBzcZ1UDPR9voOrKW7zjqopWNQ4wB1eHbxz53/ImfPvYOZ6aVs589wYuYSLJXG8m3s4YV+r9YUjyVtJ0OWAmfmPsHT2S15oTi5W+3RKdTfKkwiMnQUoEpDWR0FdaObM4yJM6h1Huh1dvGXFuqv78BauovroHbPoKai/Y39npbLki7Lbsjdc3/Nzenf4kCL5TpWawK6DSgtV/apmB1Dygs8POu7fOWB9TsmTR138Ds4dPoEZUlFpBsFqNJQ4mzkmKY0o5ujDGq9l5nqYRa/Jkk1ns4u/pIMaqbxM6hxlnTT9FK2jbOkZkwstHNWuv8loMqVfUpHZZ/2GDeVuQf0vJypiEhMAao0lLjM1OimdMNkUEu7+DVJqnF1lplq4DGocR3SCTPD/ShL+vDcn3BL+o9AkaxFa9rHeunCT5aA6k/ZJxXEF5H+UIAqDaXLSlLN9T8G1d07AujSLv580WnPF2kqGc8o9Svuwm8uLTMVz+Kvkwxqsqs+tXpJR0mmSa/dDdceD+kmaF+D47il2KCY47Re/hpUUgJKZZ9EpBoUoErDaM8XyRfDetzJDGo9TzZqLxSJmtytix9CdlUBauOI65z2OIt/CMegdluhKRJ31W9iS9m6+DTfylxCM2my5CimnJQXIN8KhMSoed9tzpEmncrg6SYotPdZAkpEZF31GKCa2SkDOJ+7+/fWoT0iPUp25Y9uynQEevU8BjU5zrSzUH/nj92aXJ7xZIe8XTIwrT0tddpRqH9oPotz57/IT668o2Oy0Zdnb8lO41aydswM7vrLBdyU+W1Y0z7V3rXkk/d8zj5LQH0ulIBCJaBEZAj0lkE9dQDnc0ABqgyKZFf+mObGGIOanKkfB9Sjsl0zqNIYCkUnVwgRXrmlTmHdu/h7yooCHWNHl2U35J4rf80/UueTI01Lqg27DQqkyZDnxxkf8Jr2vWVJVQJKRIZSbwHqZkPWCpF+SHblj0rO4q/jIC85EapcF79KTTWO5ASowSjUX5oV/eqcfTlsq2yY0PTSg3DTKZBKMzHXxg9TBdLmjEo8PkvfwXGONKlUhoJlsKibv5UmshSUJRWRutJjgOrui4ayISJ9SXblj2nqrIPani+SKxTJputvLOfaMhnU0ckxqI0w61uAzhqoUKbMVMlSp6WZ0J5WYWLcVJa9+gLPLXycR2+8jn+kLiZHmqZUnvuv2g5PP467YxQ6JtKnoNdZ9eW66lczijQFTsody51ts5hhS1jsUwDYqvl1FcoXkbqjSVLSMFYnM6jZdJdAb017gfGj6i9A7dLFH2XZsukU2bSRK7gyqA2kSwa1xzJTRebOf5GTrlxANpUiVyzy4Z034o4HH2fT9DK29ac5MXMJmWwzFNpZNPUApr14I7OA3VNh3fo4K7qfPQJePhbtq6s+WYd01b6n8PLobVg1amOuuuhZHFjqEwBoShuf+fiB7Dh9vIJREakrvU2SOjr69o/u7on7vXL3C6vSMpESyXqiqZQxpjnTZd/4UfU32SjOkGbT1iXDOyqbJlfIawxqA0kGqM3ZVJd6oi2ZNJNZwfS3nuXsuS8zLl/syFK2/+tWbs7+jiIwKl6Fqa0NgJkv/b3HbGivQah1BqGWW0PBoY3msnVI1xs3lfWAfy16g9FNi7oMiWnOpFl/dJOCUxGpO71lUC8gTHq6FGhP3O9t1WUHFKDKoIj/sI5p7t5VvrpOJ0rF42ZHlYxZHNWU5s3WPGtz9dluiSSC0NbcKCazghm2hPUefh5uPz3UEy20s9nYA7iz+R8UCkZTOoelwTFSFEMpp36uVd+b5Kz67xSP41v/2Tle9I3VbR21TnuqQzpj4igK3nUaf65YZMbEUYiI1JveAtTZAO7enrwvUitrOlaRiss1Jbr467TUVHJhgaRwv01d/EOktzGhXQrZb7hJZ1D60oP4TadQsCxpzzF1k/dyZ/PfKGK0zMuFE0cTjfZYUS4T2ktNp/iIMuNFC9G69Zfl3smHuZMcabIUODP3CR71zVjsU2htnsQn2sYxaWYIRieNI7S9F1PGtXDGnFldhh+cMWeWsqciUpd6myR1W2/3RYZaZ7AXZ1A7P771mkGN25ycuQ+J5U4VoK6TZKAJ9Fq4fjpLWFSczPQZM3lx8SJmppayTfEZTszGhezzLJ72LqYvuQ13w7wdAzKEIHSDZ6/uvf+oB6XdTslM6FXFffhw6k7yZMiQ54lZX2OXPWfDhJk0L8xx0JWh4P7C9g1YyoSOc7QMMPN52K7T2WerSZqdLyJ1T5OkpGHE9U7jADWdMlqyKVpzxbqthRqPWyzt4o9fgwLUgUtORlqbyzPZVrJF5vUuJZqWv/wUC+b+mZvS0ez4dJ47X96e/bILcKApXeiSwZzx6k1A5XFob+NFzbJ4KkU+lSXf3t4lE7oqO5Fdjz6rY5nQXRJZ0MN2hX22msPi5WtZ8OIKfnj9E1XJfE4Z16LAVETqXsUBqplNBXYH1ieqeJKkSVIyWDrHoHZ+bMc0ZWjNtdftalKlWd9YnFFdM8zKTPVaaL4aEsXqT5z7GOvllzPDlrCDPceJmUs6SjQ9cNW2ePrfjHfnlCgIjfONB6YfGtBTl+uOLzaNIe1Fnt3og2y06GryZGimjUwqRappFBRycMi52Oazya5YxI2Ls1x+3atdAs3elgmNg8ndZq7PB3acpsyniIwY/Q5QzSwF/BI4jjKBaYICVBkUyVn8sdHNaV5fXb+rSY2kLv7S8kpnzJnFYbtOL3tsb4Hssldf6DImNL6/8ZonGHfH9yDdxMR8G7+w7di/OWRCs3QNQvexBeCQhm7p0N6ynb0t9/mXwj58JN05JvTHfgRfOvxwJm60NVuMm8qyV0/pbPeY5i61TgEYN5WDZ8AeswYWxCvzKSIjSSUZ1K8BnwcuAm4kBKLfBFYBJwArgROr3D6RDqujSVKlGVSo3xWZ+urir9fAulJLVrXyrb88QnvBaY1WNDrpygXss9WkbkHV3Pkv8q2/LCCVAhzOOGxWx4pJD943j20XnE0zaTIUuGu9A9j9zZsYCzSTD8FmvpUUcFAvmdDegtByAWtcyP7K4j7MSXWdmPR0dkteKE5mv1235zcPPtZlpaeJ23QG4JM23KTrRKWSWfQxBZoiIn2rJED9FHC9ux9tZhtE2/7l7vPM7I/AI8BuwLxqN1IEymcjO7rK6zRALR03GxsVBdZr13Ht9nrx3NLV5IpdZ61nUykWL1/bEYwtWdXKHQuX8fUrHmYDX8GMYqgTes+Vv2RO8+9xS7Fz+5ougeU737y+39nO3rhDLjOGrBWwnT6BP3xJx+z8uJD9pBlb0/JyioMSy40ed/A7OHT6hM7Z/wdtrW52EZEhUEmAujnwv9H38V/VLIC7rzazPxC6/39cveaJdIqDvTGJYC/OoMbZ1XrTUxd/5ySp+mx3pe555nVKSmwyLr+czVofhVVbc8WT7Zw99w428tf4pD3DSU2XUsTIkiMNWN5DYrMk4KykfqgDxewYrNi9RNOP/Qi+9B+hO55xU7H9TyRTUsge4LANOycmlQtClf0UERkalQSoa4Go+B9vEf4eTEnsfxWYUaV2iXSzukxN0dF1nkHt7OLv+qMWd/nXa7v7bdVrrHxlIVfd9RIwlqm2kun2GtvzHCdlLiF9RRP5Qhsz8ptzZ3Yh4KTxijKfPY0JvYb9+Gj6TlKZJijksINOI73RLl1KNPXUHc+4qeqCFxGpY5UEqIuALQDcPWdmTwPvA/4Y7T8QeK26zRPptLbMjPh4PGq9Z1B7nMXfAAFqtwlNJYXss4U013mOf7S8nQ+m7sMdUsVcCCzzYZ2Pd6Sf7PH85YLQeEzoIxPfy47Lb+ioE1paoundnz2nYzWlZMCZLNGk7ngRkcZTSYA6D5hDmCwFITA93cw2InTM7Qv8T3WbJ9IpLsY/urlxMqh9dfG3DnKZqQGXfYqC0L8tznLmdU90ZCLP2f0Ndl9wGkU3UoW1GDAawOBD3Nk5+KeCmfM50hQ9RTsZshQ424/g7e98N7vuvDN7JmbxP7xqPJffsqxLlYBJG04Hyq+gpEyoiEjjqiRA/R/gRjNrdvc24ExCF/8ngQJwHnBq1VsoEomXMx1TLoNap2M5+57FP3gBal9ln3pc7vO1u+Ha4ymmshzUtpr3piBPmkwqT2p+6J5P9/K8/eGANY3Fi3m+3f4ZbmnfgRm2pCMz+rm9ZzMpCi7j2fHbArP3GOQ6qyIiUhf6HaC6+yvAK4n7BeD/RV8ig67cjPh6H8vZUxd/yyC3e8mqVr7xl0fIJ8o+/eTKO9h/zHQmbrQ1l/67jZ9efSebWFju86TsxYwmRZYcbmAUSdFKU5T1zNB3tYHexote5fvwsczdFFNh5rwddDpstAs2YSbvWJjjmisXsDA1qc9VkpQVFREZGSop1H8KMNfdH+1h//bAR9z99H6ebw/gGGA2MBN4Hbgb+La7P11y7DuBs4BdgTeBy4AT3X1NyXHNwOnAUYSVrh4GTnb3m8s8f83OKZVz90Swl6iD2lzf9UR77uKPykwl2l2NVZiWvfoCrzz/BP/7SIF8wZnMis6VllKXkLk8S6HYzhb5Tbkj8wzgpNPVmbR0le/Dx7N3Y+km8rk2zsh/gqdsy45JSqmtsqRKi9cTjxfV+vAiItKpki7+U4GngbIBKrAD8F1CMNcf3wT2Bq4g1FDdEPgS8KCZvd3d/w1gZjsDNwOPAV8FphPGwW4OHFJyzguAjwDnRm09BrjOzN7l7vfEB9XBOaVC7YUi+ajOZhyUQmegt6ZOlzrts4s/V8DdufLBl3pfhSmemDRhJstWt3VZaSne9+B989huwdlsRoqfkOeo7GbslnoGx8nEM+cLYdLSHumFPba5kvGiyUL2X52zLxYV3M9MmMl/Mr570KmZ8yIi0g+VBKh9aQEqSWP9BDjC3dvjDWZ2GbCAELweE20+g5Bd3d/d34qOex74rZkd4O7zom1vBz4OfMXdz422XUgIqH8E7Jd47pqdUwYmuSRosmRTHKzW4xjUkPWNhyWUlJmKAlR3eOiFFXzzL48wofBGxzjMs+fezozVE9lsq7d1jAkl3UShbTXjHUZHs9pfn7AtG7z5BO7Ozl7sEljuWYUgtIXoxzM7iix5Hp71Xb7ywPo9FrIHOoLQKaCgU0REBqTXANXM1gMmJDZtYGblpsxOBI4EFvf3id397jLbFprZY8B2iec/CPhxHPRFLgTOAf6DzpWrDifUaT0/cb5WM/sd8AMzm+bur9TBOWUAVicC1EbJoLbli8SLK7XmowA6ynY+9Hiho/v9c79ewQdTCzij+XfkSNNCW1jR86YMmZvyuDmGQ76VNJC2sPY8wAYrHwMoW+S+0pWW4tJO3y4cx+35zklLzdkU13w0jF3dY9xU5h6giUoiIjK4+sqgfgU4JfreCd3c5/ZwrAHfWJfGmJkBUwnjPAFmRW18IHmcu7eb2UPALonNuwBPlASIAPdHbduZMMmr1ucsfc0retoXGd/H/hFhTaLOaZcxqPFKUu153B2rZOmhQZAcR3rDo692BKGn/OlNxu/xBnssOI1iKssn21ZzVLNFKx3lSeGkzRmVOFeW9h6fJ1ZpENrTpKXkcp97v5zib4lJSyfOmdWlyL2640VEZLD1FaDeGt0aIVC9kjBeNMkJK0vdWy4rWqEjgY2Bk6P706LbV8oc+wqwV+L+NOClHo4D2KhOzikDkJztnpwRPzrKphY9ZCxbsgMvgFSVmqF/f4IZtpRn8huwtz3CHc2/oxjNjk/NdzDvMjs+zoT2ZqCZ0JdnHsoWL/8V0tk+Jy11X+5Tk5ZERKR2eg1Q3f024DYAM5sJ/Mbd7xuMhpjZtsAvgTvpXJ0qTii1lXlIa2J/fGxPxyXPVetzduHuE3raBx0Z1hGfRU2OMU1OOEoGq2vaCwMOUPuqGZoUF44vrRn6nrbVvDcNBVJkmvKkqCywrGRMaBvNZMgzt7gPh6U615xPFrnfIjGBSpOWRESkkVRSB/XTg9UIM9sQ+BvwBvBRd4+LLq6NbpvLPKwlsT8+tqfjkueq9TllAOIxpqOyaVKpzkhuTKK7f3Vbnoljmio+95JVrZw4dwFt+WJHzdAT5z7CeqOy7Dh9fJflPR+8bx7bLjibFlI0kaNoRVKErGjcrJ5qhvYWhBYtTTqT7ZgIVfDOIPQ7heO4LTEmtCljnPveiay30RZ874KnObft8B6L3CfXnNekJRERaRQVzeI3s3GEcanvIYwVPdrd7zGzScAXgcvd/YkKzzkeuI6QJdzb3V9N7I67zKd1e2DY9nLJsT0dR+LYWp9TBmBNVK4pOUEKumdQB2Lx62soxLOZIuvl3+D8iy/lRaZwzm6vs8eC08NM+UL7gLOiySCU9rW4QSHdQtpzpA/5KWw+G1YsIj1hJm8kSkm98+UUfy0pZL9HlN09Y84oTupnkXsREZFGUUmh/smE7vfNCfVANyfqunb3ZWb2KcKM/69WcM4W4Fpga+Dd7v5kySGPEkpX7Q7MTTyuiTBB6eLEsQ8Bx5vZ2JJJTXtGt/HEq1qfUwYgniRVWq4pXuoUBlBqKsqK3vNIjnyxs6j9zraQb2Yvw7EwdvRBwCqfKV+0NKl0hkKqqVsQyoSZGJApLVwf3U4aF5b4hN7HhB6263SNFxURkWGnkgzq9wnF9PcEXgCWlOy/Gnh3f09mZmnCSkt7AYe6+72lx7j7SjO7CTjKzM5IBIlHAWMJRf5jfyYUxj+OqNJAtArUp4G73P3lOjmnDMDqHpYMbc6kSFmYJFWu1FS3iU9xwfuXHsRvOoV2T3Ncvp0ds9vwztTjGE6K/q+s1FvN0Dgg7SkI7fZ9L3obE6rxoiIiMtxUEqB+EPiVu883sw3K7H+WzuL6/XE28CFCBnWimX0yse8td78q+v5kwhKot5rZ+YQVmv4buM7db4of4O73mdkVwFlmNg14BvgUYRnV0nbV7JwyMGs7Ct53DVDNjDFNGVa15TsyqHFQuuDFFZx//b0dReXP2T2UeQLD82sxokHDBvule1ogrfzynvFM+dLxocmaoWUDUhEREelTJQHqJELXfk+KdE4e6o+do9tD6L4U6CLgKoAoID6QsHLTOYQ17n8LnFjmnEcD34tu1yeUxPqAu9+VPKgOzikVijOoyS792PTsm4xqf5HCmxsxd36en8y9gxm2hK0LC7kpeykOZFP5qMxTeExpgrSS5T2TM+VLx4eW1gwVERGRylUSoL4KbNHL/l0IXf/94u77V3DsncDe/TiuFfh69FW355T+SXbPx2NQO0pMJbrqr8x/m/amNKNvPIP7C1twa/pJwEmn+t9VX8qBYnYMVizw7dxnuKV9h7Iz5VUzVEREpPoqCVD/DhxrZj+HrkvcmNmehAzjudVrmoxkc+e/yNlz72DT9FIWFSez5eQx7GrPsH6xCR68GP56AmB4oZUWoMUAh3em/t3jOct11SdXVvp49m4s3QSFHHbQaaQ32gUmzOQdC3Nc08tMeY0BFRERqS5z976PoqNW6b+ANHANcCxwEdAEHEYopbSbuy8fnKaOTGa2Yvz48eNXrFhR66ZURemkpeT91OolLFv8FLmxM7jgTxfw/fT5HWvTp4gK4JMnZd276GO9ddW3e5oinV31Z+Y+wcLMliz2yXx1zr4ctlW2Y4Z96bjRAa8yJSIiMoJMmDCBlStXruxrIaK+9DtABTCzGcAvgIOBVLTZCdnVL7j7i+vSGOluOAWoc+e/yE+uvKNj0tJ+u2zP7Q8+xqapZWxZWMg305dEy4K2k47Wpq9UtywpnV313yrpqn8zsz6/PHK3zmL8IiIisk6qFaBWVKjf3RcDh5rZesA2hETW08qaSq9Wvcbyl5/isav+zD9SF4dlOVMFbpy/K6em/4kDTenCgAvgl3bVfyxzN8VUlrTnsINO77Gr/sw5szhwO82wFxERqTcVZVB7PZHZ3sDp7t7vWqjSt0bJoHZZn35Mc2dX+bO34NceT64A2WJrVdamb/c02UwGyzSTz7VxRv4TPGVb8nxxkrrqRUREamhIM6hR3dMtgOXu/nTJvncApxOK9JdfhFwaUq/BXDyLfsJM/jnvL+ww/7s0k6aZNoopg1QGK+SAIkYYqNzjwNEycqTJpDMUU01Ybk2Xtekf3fU09jjgI7BiEZkJM/lPxndvZw+1RzWhSUREpP71GqBGqz39krCSkkXb7gM+DLQCvwE+RghMLwZ+MIhtlSEUjxedmVrGoigzud9GRZYtfoqN1zzB2Du+R9HSWL6NXYuFruNFHSh0X9WplNM1Zk0WwI+D0FQUBCfXpt8jWgI0DkKngIJOERGRYaSvDOqXgc8BLwL3AlsC7yAErdOBtwN/BL7n7s8MYjtlkHTpmt9wE5a9+gLPLXycBTf8nX+kLyFHmqZUnruvfBvjU4+yHk6WImahnAPQa2a03HjRXGYMWStgO30Cf/gSChbGi67a9xReHr1N2SA0uTa9iIiIDG+9jkE1s38Rgti93H1NtO2XwBeA14EPufs9Q9HQkWqgY1B7HBM6bmrHvhVP389OT5xDnjRZ8jwzdne2fut+ikATA5+0lFRa2unHfgRfOvLwzqVAE0MFtCSoiIhIYxuqMahbA6fGwWnk14QA9UcKTodWtzGhyeAOehgT2k4hZZBuIlXMsWS9WWzwxkOMBzJRJjS2/ep7esyG9mcp0BxZmmkDoJUmshT4duFY7mUnNksv65jE1GUp0HFTFZiKiIhIF30FqGMIS5wmxfcXVL85Uk6xkOeif9zPL299mk1sKYuZwjm7L+ftj55O0TKk8msB8FQGCjl2de8+JjQflgqdumL+gILQcsfGpZ2+68dx7Kc+gy9fxMOrxvPzW57uqHX61cP25ZtaClREREQq0J9Z/KVjAOL7uSq3RXqQyq3h43e+h09kwmpKaQqkHqTrOFDA4olJFYwJ7Y07FLJjSFPg2Y0OYaNFV5MnQ4Y8ZxWOYGG6s7TTNltMhy22Yltg9h6zugWkCkxFRESkv/oToH4gWuY0NpoQpH7UzHYuOdbd/ZxqNU5iTibKiKbpx+z4CoPQeOb8IxPfy47Lb+gIQp+Y9TV22XM2TJjJFuOmsuzVUzrGtX5hzJQes6Iq5SQiIiLroq9JUpXWNXV3T/d9mPSXma0Y38z4Fd9ar8v2/kxMKjcmdG5xHw5L3dkRhD60zQmsv9WeXWbxJ2f1i4iIiPTXUE2Smr0uJ5fBE09MaidDC+1AZxDa65jQOfuyOqpnOmnG1uxVEoRO2nATBaYiIiJSU70GqO5+21A1RHpjtHuadMrwzCjSnuPhWd/lKw+sz6apZTydm4iZsUXm9X6PCVUQKiIiIvWq1y5+qT0zWzFu7Jjxzy58vFs902TZKUAz5UVERKSmhqqLX+pAKp3pzHgmaoaWTkZSYCoiIiLDQarWDRARERERSVKAKiIiIiJ1RQGqiIiIiNQVBagiIiIiUlcUoIqIiIhIXVGAKiIiIiJ1RXVQ61y03KyNHz++1k0RERER6dXKlSsB3N3XKQmqALXOmVn8Bq2saUP6FkfQ9d7OsdHtWzVtRd90PatL17O6GuV6gq5ptel6VtdwvJ7rAUV3X6da+yrUX/9uA3D3/Wvcjl6Z2QqAdV05YrCZ2a2g61ktup7VpetZfbqm1aXrWV26nj3TGFQRERERqSsKUEVERESkrihAFREREZG6ogBVREREROqKZvFLVTTKgPRGoetZXbqe1aXrWX26ptWl61ldmiQlIiIiIiOeAlQRERERqSvq4hcRERGRuqIMqoiIiIjUFQWoIiIiIlJXFKCKiIiISF1RgCoiIiIidUUBqoiIiIjUFQWoI5yZTTOzH5rZLWa2yszczPYvc9x4M/ulmb1iZq1m9rCZHdHDOY82s0ei414xs5+Z2diSYzY3s0vN7GkzW21mr5vZ7WZ28OC80qFRw+u5afRc5b7eNzivdvDV8Hqe2sv1dDPbe3Be8eCq1fWMjtvOzK4ysxVm9paZ3Wxmu1X/VQ4dM9sjuk6PR7/HXoh+r21Z5th3mtmdZrbGzF41s5+a2egyxzWb2Y/M7GUzW2tm95rZu8sc9zEzu8jMnorex1sH6WUOmRpfzx+Y2T8t/C1aa2b/NrPvmtmYwXq9g63G1/PWHn53Xtrf9mcqf8kyzGwDfBN4GngEeGfpAWaWAf4B7AT8Ijr2vcCfzCzj7hcmjj0eODc6/jfAdOB4YHszO9A765ptBGwA/Al4ERgFHAb81cyOdfffV/+lDolaXc/YRcANJdseXveXVTO1up5zo/OUOgMYC/yzGi+uBmpyPc1sU+AuoBU4C1gNfBq41cz2dPfHB+PFDoFvAnsDVxCu54bAl4AHzezt7v5vADPbGbgZeAz4KuE6fQ3YHDik5JwXAB8hXNengWOA68zsXe5+T+K4LwC7AQ8QfpcOB7W8nrsB9wJ/BNYSPv8nArPNbHaZ37WNoJbXE+AF4OSSbc/3u/Xurq8R/AWMAzaIvv8w4MD+Jcd8LNp+dMn2PwOvAU3R/WZgRfRBt8RxH4we/+E+2pICHgQerfV1abTrCWwabTuh1tdgOFzPHtoyAygC59X6ujTa9QR+DbQBWya2jSb8Abuq1tdlHa7nO+Prkdi2FSEQvyCx7e+E/4iPTWw7LrpOByS2vb305xhoIQQCt5f5PKaj7x8Cbq319Wjk69lDe74aPX73Wl+bRruewK3AQ+vSfnXxj3DuvsrdX+/jsL0JH8rLS7ZfCkwBZkf3twfGA5d59AmNnuOvwFuEP3y9taVI+CGZ0N/215t6uJ5mNsbMmgbQ/LpTD9cz4ROAEbL+DamG13Nv4F/u/nTiuDXANcD7zWzcAF5Ozbn73e7eXrJtISETtR2Ama0HHARc6O5vJQ69kHCd/iOx7XAgB5yfOF8r8DtgHzOblti+2N0L1X1FtVXL69mDRdHthIpfTB2oh+tpZplyQ376QwGq9EczkAfaS7aviW53TRwHoXuk1NrEcR3MbLSZTTKzLczsBOD9hIzMcDZo1xP4HuGXSquZ3WNm+61jWxvBYF7PpCOBxcDtA2hjIxmM69ncw3FrgCZghwG1tA6ZmQFTgWXRplmE4XQPJI+LAoeHgF0Sm3cBnigJFADuJ/znaOfqt7i+DeX1NLN09PdoIzN7D/B9YGXpczWyIf58bkcYzrMqGrN6kpn1O+5UgCr98SSQJaT3k/aNbjeKbhcSMi9dJpCY2TbA5MRxSacDSwldBGcTxv4dX5VW16/BuJ5FwtjTrwEfim5nAjeZ2b4Mb4P5+YyP2R7YEbgkmS0cpgbjej4J7Fxmwsk+JeccDo4ENqYzAx1nlV4pc+wrdH3t03o5DobXdeqvobye2xH+Hr1E+H1qwKHuvqLiVtevobqezwA/AD5OGKf6SHT/V/1tqCZJSX9cDJwCXGBmXyIEk+8BvhjtHwXg7svM7HLgWDN7Eria8IPwc0K3wKgy5/5f4HrCB/9wwmeyucxxw0nVr6e7vwB0ma0fzZZ8HPghJUHEMDOYn8/YkdFtw3bvV2AwruevCZMtLjWzUwhZlS8CuyfP2ejMbFvgl8CdhMk20Pna2so8pJWur31UL8fBMLlO/VWD6/kcobt7DPCO6PuGHH5SzlBeT3c/tuSY/4t+X3zOzM5x9yf7aq8yqNInd3+VkJUbRZit+xzwY+DL0SHJdP/nCQOuf0L4H9TtwALg2pLj4nMvdPeb3P2P7n4oYcD1tVE3xLA0mNez5HleBi4B3lGuXMhwMdjXM/osHkGYvPfIILyEujIY19Pdr4sePxuYT8ioHkznDN9eP8uNwMw2BP4GvAF8NBpTD51DG8r9x7uFrkMf1vZyHJQfJjEs1eJ6uvvq6O/R1e5+IqHixNVmttMAX0bdqJPP59mErPTsPo4DlEGVfnL3281sc8J4lTGE0kXJrr74uJXAoWa2CWFm+SJ3X2RmdyeP68WfCQOutyb8ERuWhvB6Lib8R3QCnWMIh51Bvp57E4ZLnDhIza87g3E93f0XZvYHwlCJeHzbsaXnbERmNh64jjBpbO8oyI/F3Z/lJuRMA14uOban4yg5dtiqo+t5FWH41Mdp4HJ9dXQ9F0e3E/s4DlAGVSrg7gV3f8jd74oGSR8Y7ZpX5tgX3P326I/VBEKNuf5Mfoq7CMZXpdF1bIiu5+ZAgfC/5mFtEK/nkYSxlhcPRrvr1WBczyhDdY+7/yuagX4g4Y/evwfvlQwuM2shZIy3Bj5YpuvyUcKks91LHtdEmFTyUGLzQ8C2ZWY97xndNmyQ1F91dj2bgDQN/Peozq7n5tHt0n40XQGqDIyZTSYUAb7Bo2K/vTiT8L/Q/y15fOk5M8CnCONZGrVw94AM0vXcklAa6XZ3HzFdg7Du1zNxnizwUeDOaJzviFSt61lyzncSFuf4WaK7saGYWRq4DNiL0G16b+kxUZb5JuCokj/sRxEWfbgise3PhAlqxyWeo5mwqMFd0bCdYatW19PM1ou2lzqW0CX9r3V5XbVST9czastJhN8NN/Wn/eriF8zs29G320W3R5nZPsAKd/9FdMydhIHVTxNWo/g84T84ny8518nRee4j/K/sw4QJFp939+cSh54VBVDzCGn/qYRM1XbAN8qUsWgYNbyemxOyVq8AWwD/Ge37WjVf31Cr0fWMvZfOFc+GhVpcTzPbgpCBvgZ4lVBW6vOEMas/qfqLHDpnE8brXgtMNLNPJva95e5XRd+fDNxNWDnrfMJKPf8NXOfuHX+s3f0+M7uC8PM8jTCu91OEISbHJJ/YQgm5uIzcVGB84r29pkHHS9fqeu4KXGJmlwFPEWKjfQgTd+cTVuhrRLW8nheb2SWE3yFjCfVUdwd+1MPv2u68DlY70Fdtvwjdl+W+nk8c81PgWcIMvlcJ40Q3KnOuQwg10VZFX7cB7ytz3KGE2fuvEMajvUEIrubU+no06PX8RLRvKWEG9RJCGZHta309GvF6Jo6/JPp8Tqz1dWjk60kI8q+OztVGGHP6XaCl1tdjHa/lrf25ntGx+xCWe11LWJHrZ8CYMudsIUxKe4XQm3Q/cGCZ407t5bmPqfW1aaTrSQjIfhd9LldHxz1GqCs9drBe7zC+npsRMq/PR+dbTfhP7Kcqab9FJxMRERERqQsagyoiIiIidUUBqoiIiIjUFQWoIiIiIlJXFKCKiIiISF1RgCoiIiIidUUBqoiIiIjUFQWoIiIiIlJXFKCKiAwzZnaBmanItYg0LC11KiJS5yoMNjcbtIaIiAwRrSQlIlLnStbQBtgX+BxwHnBHyb4rCcuzpt29dQiaJyJSdcqgiojUOXe/KHnfzDKEAPWe0n0JuUFvmIjIINEYVBGRYabcGNR4m5ltEH2/zMxWmdlVZrZhdMznzOzfZtZqZk+Y2aE9nP9jZnZn9Pg1ZnafmR0+FK9NREYGBagiIiPL9cB44BTgt8AHgSvN7OvA14H/A74FNAF/NrMuY1rN7PvApcAq4DvRsWuAK8zsv4bqRYjI8KYufhGRkeV+d+8IJM0M4CvAxsAO7v5mtH0e8DBhKMGJ0bZdgZOBM939pMQ5f2ZmVwFnmtmF7r5qKF6IiAxfyqCKiIws55bcjydZXRgHpwDu/gjwJrBV4tgjAQf+z8wmJb+Aa4BxwF6D1nIRGTGUQRURGVmeLbn/RnT7XJlj3wA2SNzfDjDgiV7OP3XgTRMRCRSgioiMIO5e6GFXT9ut5HsH3t/L8Y8NsGkiIh0UoIqISH8tBN4HvODu/651Y0Rk+NIYVBER6a8/RrdnmFm6dKeZqXtfRKpCGVQREekXd/+nmZ0KnAo8ZGZXAC8D04DdgA8QylOJiKwTBagiItJv7n6amT0A/D/gBGAMsAR4NNomIrLOzN37PkpEREREZIhoDKqIiIiI1BUFqCIiIiJSVxSgioiIiEhdUYAqIiIiInVFAaqIiIiI1BUFqCIiIiJSVxSgioiIiEhdUYAqIiIiInVFAaqIiIiI1JX/D5mGX22ftbm3AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "y = df_[\"y\"].values\n",
    "# The x-values must be numbers rather than dates to fit the LOWESS model.\n",
    "x = np.arange(0, len(y), 1)\n",
    "trend = lowess(y, x, frac=0.1)\n",
    "df_[\"trend\"] = trend[:, 1]\n",
    "\n",
    "ax = df_.plot(y=[\"y\", \"trend\"], marker=\".\", figsize=[10, 5])\n",
    "ax.set_title(\"Retail Sales deseasonalised with outliers\")\n",
    "ax.set_ylabel(\"Retail Sales deseasonalised\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "annoying-tyler",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "      <th>trend</th>\n",
       "      <th>residual</th>\n",
       "      <th>lower</th>\n",
       "      <th>upper</th>\n",
       "      <th>is_outlier</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1992-01-01</th>\n",
       "      <td>164493.495889</td>\n",
       "      <td>164121.229515</td>\n",
       "      <td>372.266374</td>\n",
       "      <td>-5613.803645</td>\n",
       "      <td>5794.196624</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-02-01</th>\n",
       "      <td>166194.124261</td>\n",
       "      <td>164746.509329</td>\n",
       "      <td>1447.614932</td>\n",
       "      <td>-5613.803645</td>\n",
       "      <td>5794.196624</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-03-01</th>\n",
       "      <td>164808.704639</td>\n",
       "      <td>165382.782243</td>\n",
       "      <td>-574.077604</td>\n",
       "      <td>-5613.803645</td>\n",
       "      <td>5794.196624</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-04-01</th>\n",
       "      <td>164603.499381</td>\n",
       "      <td>166026.292837</td>\n",
       "      <td>-1422.793457</td>\n",
       "      <td>-5613.803645</td>\n",
       "      <td>5794.196624</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-05-01</th>\n",
       "      <td>167157.131519</td>\n",
       "      <td>166672.981269</td>\n",
       "      <td>484.150250</td>\n",
       "      <td>-5613.803645</td>\n",
       "      <td>5794.196624</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                        y          trend     residual        lower  \\\n",
       "ds                                                                   \n",
       "1992-01-01  164493.495889  164121.229515   372.266374 -5613.803645   \n",
       "1992-02-01  166194.124261  164746.509329  1447.614932 -5613.803645   \n",
       "1992-03-01  164808.704639  165382.782243  -574.077604 -5613.803645   \n",
       "1992-04-01  164603.499381  166026.292837 -1422.793457 -5613.803645   \n",
       "1992-05-01  167157.131519  166672.981269   484.150250 -5613.803645   \n",
       "\n",
       "                  upper  is_outlier  \n",
       "ds                                   \n",
       "1992-01-01  5794.196624       False  \n",
       "1992-02-01  5794.196624       False  \n",
       "1992-03-01  5794.196624       False  \n",
       "1992-04-01  5794.196624       False  \n",
       "1992-05-01  5794.196624       False  "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Compute residuals\n",
    "df_[\"residual\"] = df_[\"y\"] - df_[\"trend\"]\n",
    "\n",
    "# Compute inter-quartile range\n",
    "Q1 = df_[\"residual\"].quantile(0.25)\n",
    "Q3 = df_[\"residual\"].quantile(0.75)\n",
    "IQR = Q3 - Q1\n",
    "\n",
    "# Apply 1.5 IQR as a threshold to identify outliers\n",
    "factor = 1.5\n",
    "df_[\"lower\"] = Q1 - factor * IQR\n",
    "df_[\"upper\"] = Q3 + factor * IQR\n",
    "df_[\"is_outlier\"] = (df_[\"residual\"] < df_[\"lower\"]) | (\n",
    "    df_[\"residual\"] > df_[\"upper\"]\n",
    ")\n",
    "\n",
    "df_.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "published-mistress",
   "metadata": {},
   "source": [
    "Let's plot the results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "level-gospel",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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mpKqbReRp4JsiUgO8jrvg7zu4DGZzdbLZLBSRV4BXafi6n4vrrnK/99xbRWQqrqvI+97PzodAb1yG9ARcEPusqiZF5AJcUPaaiNyGywD7X9OheaxtFq4F4Z64Nm3B4yW4NoctzVi+gsvA/1FEZuP+4JiV452QfJ2Hy2S/ICJ+m7cv40pX7lXVmYGxtwI/AR4WkVtwX+uTyPw7/C7umoPvi8g2XCeUNara4rISVV0uIt8Dbsd9v/+B+/3xOwN9FZfdX9LMVC36HTBdXHu30bAP++jsHzS0N/pplvOjcP/JPRM4Vol7S9i/4GojLvC8BRid9vgLcW97xgm0SsIFjNfj/gOpxb09+QvcW7rpLbImZji2S3C+Zl7j53FvZb+Nu+AqgQsinsEFFKG08YfjAr/N3mv7N7AXebS1wgVVf8X9Zxjznu9NXABS5Y0Z7o1ZiKt53up9fiVQ0cLv31hcILsV95by/+Eu4GvUgiow/ku4TOV6XLZrGe6Pgu8GxpyAy9Au98asxQUlJ2aYr0U/Cy39fuMCsmtwvY0/855/Ce7CtREZnv/buCCi1vsa/g84LMO4bF+PM2napq0SF+Ss8Oad5z1PprGZjk2k6c/rL3D1zGsCX/eHgH0zrGkv3Fvrn3o/O6txmdNfAn3Txp6Aq1f25/w1rm48Y8uyLD9DvXG/E4r3sxk496l3/OgMj3uWpr8P3XAXfa7G/btR/7XJND7f32Vv/D64PyL8n+GFuH9nwhnGHhv4+qzA1bvvmen5vLFzvO+54v4Qybq+HD9Th+Iy2Wu8798K3L81PwHKAuOW+M+R9vi8fgfso2t+iGpbljMZY4wxxhhTXKwG2RhjjDHGmAALkI0xxhhjjAmwANkYY4wxxpgA62LRwYlIAveHTEva/xhjjDHGdGW9gJSqbleMaxfpdXAikgKkoqKivZdijDHGGNOhVVdXg+sIul1VEpZB7vg2VVRUVGzcuLG912GMMcYY06H17t2b6urq7X7X3WqQjTHGGGOMCbAA2RhjjDHGmAALkI0xxhhjjAmwANkYY4wxxpgAC5CNMcYYY4wJsADZGGOMMcaYAGvz1gmoKuvWraO2tpZUKtXey+nyQqEQZWVlVFZWIiLtvRxjjDHG5MkC5CKnqnz66ads3ryZ0tJSwuFwey+py4vH42zZsoW6ujp23nlnC5KNMcZ0fjU18O67sGUL9OgBo0dDeXl7r6rVLEAucuvWrWPz5s0MGDCAvn37tvdyjGf9+vWsXr2adevW0a9fv/ZejjHGGNM2VGHmTHjoIYjF3H0RKCmBk0+GSZPc/SJjAXKRq62tpbS01ILjDqZv375s3LiR2tra9l6KMcYY03ZmzoRp06Cqiq2Eqa6JU1EepTtJdxxg8uT2XGGrWIBc5FKplJVVdFDhcNhqwo0xxnReNTUuc1xVxcL1dcxcuJqQCClVJo0awKiqKnd+wgQoK2vv1ebFulgYY4wxxpj8vfsuxGJsJcyMhatJpJRYMkUipcxcuJqthF3ZxYIF7b3SvFmAbIwxxhhj8rdlC6hSXRNvciok4o6runFFxgJkY4wxxhiTvx49QISK8iiqjU+lVKkoj7oL9Hr0aJ/1bQcLkI0xxhhjTP5Gj4aSErqTZLd+3esPR0LCpFED3IV6JSUwZkw7LrJ1LEA2xhhjjDH5Ky93rdyWLaNfqWvlVhYNc9ahwxnVtxSWL3fni+wCPbAuFsYYY4wxprUmTQKg9Mbb2Ln6M0rDQvdVEZc5PuOM+vPFxgJkY4wxxhjTOiIweTJPb96J5x59nn4a4ys/PMqVVRRh5thnJRYmqzWba3lz6QbWbN7xm138/e9/R0R46623mpy75JJLKCsrY8OGDTt8XcYYY4xpqiZSyvyBuzO7ai/Yb7+iDo6hHTPIIjIReCbL6VGq+p437lngiAxjHlDVU9LmLAWuBE4H+gBvA5eo6swMz38IcB2wL7AJeAC4SFW3tfWcO0IimWJldesD26fmr+J3T79PJCQkUspPP78nX9xrYKvnG1RRRiTc8r/HTjzxRH7wgx9w7733Mn78+Prjqsq9997LscceS58+fVq9HmOMMcYUTjzpNsZKpLSZkcWhI5RY3Ay8mXZsRdr9T4BL0o4tyTDXNOBEb84PgTOBJ0XkCFV92R8kIuOAmcAC4MfAEOCnwK7AcTtgzja3srqWw67L9vdHy9V5t7/5z0J+85+FrZ7nhQuPpKpvtxaP79WrF8cffzz3338/1113HeLt4z579myWLFnCDTfc0Oq1GGOMMaaw/AA5mVJSKSUUknZe0fbpCAHyc6r6SDNjNqjqPbkGiMiBwCnABap6s3fsbmA+cC1weGD41cBnwERV3eKNXQLcJiJHqeqstprTtNzUqVO5//77ee6555g4cSIA//d//0fv3r350pe+1L6LM8YYY0y9eLIhcxxPpSgNhdtxNduvIwTIiEhPoEZVEznGRIAyP/jM4CQgDtzuH1DVWhG5A/iNiAxS1ZUi0gs4Grg+ba67gZuArwGz2nDOHWJQRRkvXHhkqx772ZY6vn7rK9QlUvXHSiMhHjj3c+zUo7TV68nX5z//eQYMGMC9997LxIkTicfjPPjgg5x00kmUlrZuHcYYY4wpPD+DDJBIKqUdIsJsvY6w/H8APYCEiDwD/ERV56WNGQVsBUpEZCXwR+C3qpoKjBkPvJchgH4NEGAcsBIYi3vdbwQHqWpMROZ687TlnDtEJBzKq6QhqKpvN645YSwXPzyPaChEPJXi6iljGTd0x9b8hsNhTj31VKZNm8Yf//hHnn76aT777DO++c1v7tB1GGOMMSa3RKohJAsGy8WqPQPkGPBP4ElgHbA3rmb3RRE5QFU/8MZ9hMu+zgN6Ad8AfgMMBb4bmG8Q8GmG51np3Q4OjAseTx97cBvP2YiIbMx2zlPRzPk2ccK+Q5gwopJl62uo6ltO/57tczXq6aefzk033cSTTz7J/fffz9ChQzn88MObf6AxxhhjdphYIlBikSz+C/XaLUBW1dnA7MChx0TkcVwW9jLgNG/c2WkPvUtEHgTOFZGbVPV973g5DdeUBdUGzgdvs40tD9xvizmLRv+eZe0WGPvGjx/PXnvtxa233sqzzz7Lj370o/oL9owxxhjTMTQqsUgVfwa5Q/VBVtW3gRlAc9uu3IArcQgW2dYAmQpTywLng7fZxtYE7rfFnI2oau9cH0B1tsd2Faeffjr/+c9/2LZtm5VXGGOMMR1QoxKLRPFnkDtUgOxZBvRtwRjSxq2kodQhyD+2IjCOHGODLebaYk6Tp9NOO41QKMQ+++zDXnvt1d7LMcYYY0yaYFAc7wQZ5KwlFiIytTUTqurdrV8O4PoGr23BGNLGzQXOE5EeaRfVHeTdvu3dzgcSwP7AdH+QiJTgLrq7t43nNHmKRqOIiGWPjTHGmA4qGBQnOnkN8jRAcaUMvuArlgzHwLU2a5aI9FPVtWnHJuDKJu7y7vcC6lS1LjAmDFwMpHDlGL5/4i7yOwe3qYe/C95ZwEuqugJAVatFZAZwuohcHQh8T8d103iojec0ebrzzjsBOPXUU9t5JcYYY4zJJFiD3Nm7WKQ30Y3iNsfYCfgr8K53fAzwHVwnip/n8dwPiMg23IV664C9gHO9zy/3xuwL3Csi9+F2seuB6ym8P3Ctqi72J1PVV0XkIeA6ERmE635xBjAMt/td0CXe8z4rIrfjdr37CfCkqs5oyzlNy82aNYsFCxZwzTXXcPLJJzN48ODmH2SMMcaYHa5RiUVnDpBV9bngfRG5EnfB2VhV3Rw49ZiI/Al4BTgMt91ySzyC61TxE1z7tjW4UoTLVfUTb8xS4CXcVs8DcFnj+cCZqnpXhjmnAr/2bvsA7wDHqupLaa9tjohMxgX8NwGbgNuAi3bQnKYFrrzySmbPns2ECRO48cYb23s5xhhjjMmiUYlFqvhLLES1ZS9CRD4Bfq+qv8ty/mfAD1V1WAHX1+WJyMaKioqKjRs3Zjy/dOlSAIYNsy97R2PfG2OMMV3FYdfNYtl617Tr3nMO4pDdK9tlHb1796a6urra6wTWavl0segH5NpYOwz0357FGGOMMcaY4hO8MC/eCTLI+QTI7wHfFpEm+w2LSF/g28DCQi3MGGOMMcYUh0YbhXTmGuQMLse1MHtfRO4E/B3sRuK6OvQFTiro6owxxhhjTIcXS3SdLhaNqOqjInIScAtwYdrp5cDXVfWRAq7NGGOMMcYUgeCFefFO3ge5CVV9WEQeBfajYbOOj4E3VbX4/1wwxhhjjDF560p9kDPyAuHXvQ9jjDHGGNOFqWqjrHFn2Ekvn4v0ABCRw0XkKhG5TURGesd6eMd7F3yFxhhjjDGmw0rvexzsiVysWhwgi0hYRB4AnsFt9fwtwN/aLIHb+OP7hV6gMR3RLrvswplnntneyzDGGGPaXXpJRTzRhQJk3DbSJwI/BkYB4p9Q1VrgYeDYgq7OdGmvvPIKl19+Odk2STHGGGNM+0u/KK8z7KSXT4A8FbhbVW8B1mU4vxDYrSCrMgYXIF9xxRUWIBtjjDEdWJMMcherQd4FeDnH+Y1Ak01EjGlryWSSurq69l6GMcYY0yWlX5TXGbpY5BMgb8ZtBpLN7sDa7VuOMc7ll1/OBRdcAMDw4cMREUSEJUuWICKcf/753H333YwcOZLS0lJeftn97bZs2TKmTp1K//79KS0tZe+99+a+++5rNPe0adMQEV555RXOP/98+vXrR/fu3ZkyZQpr1zb+EVZVrrrqKoYMGUK3bt048sgjWbBgwY75IhhjjDFFID0g7mo76b0IfFNErks/4W0//S3gqUItzHQAm1fDxqXQexj0HLBDn/qEE07go48+4p577uGmm26isrISgH79+gHw9NNP88ADD/CDH/yA3r17M2jQIFauXMnnPvc5SkpKOO+88+jbty+PPvoop556KnV1dU0uqvv+97/PTjvtxOWXX87ixYu5+eab+eEPf8gDDzxQP+ZXv/oVV111FV/+8pf54he/yJw5c/j85z9PLBbbYV8LY4wxpiOLpZdYdIIa5HwC5N/gguRZwDTv2D4iMgL4BdAd+G1BV2daL5mATZ+2/vELH4dZV0IoCqk4HPUrGHVc6+frtTOEW/7jtvfee7Pffvtxzz338NWvfpVddtml0fkPPviAd999lz322KP+2Nlnn00oFOKtt96id+/eAHzve9/jmGOO4eKLL2bq1KmEQg1vmvTv358nn3wSEXe9aSqV4ve//z3V1dVUVFSwdu1arrvuOo4//ngefvjh+nGXXHIJV199dSu/EMYYY0zn0qTEohN0schnq+k3RORE4Hbg797h3+G6WawBpqjqu4VfommVTZ/CLXsXYCKvtvfpS9xHa533DvQZVoD1OEcddVSj4FhVmT59OqeeeiqJRIJ16xquI/3iF7/IU089xQcffMDIkSPrj3/nO9+pD3oBDjvsMG666SaWLl3K3nvvzYwZM4jFYvzoRz9qNO7888+3ANkYY4zxNCmx6GIZZFT13yKyC3A0Da3eFgH/VdVthV+eMZkNHz680f21a9eyceNG/vznP/PnP/8542PWrl3bKEAeOnRoo/N9+rhrTDds2ADA0qVLARgxYkSjcf369asfa4wxxnR1TbtYdKEMsk9V64AnvA/TUfXa2WVtW2PrOph2DCQCnSEipXDmk9C9svXrKaDy8vJG91Perj1nnnkmp512WsbH7LXXXo3uh8PhjONUi/8vX2OMMWZHSW/r1qUCZBEJA6XBTLG3tfTZuO4W96vqvIKv0LROONL6koY+w+C438Pj50M4Csk4HHczDNmvkCtsVrCsoTn9+vWjZ8+eqCqTJ08uyPMPG+a+fosWLWqUbV67dm19ltkYY4zp6pp2sSj+RFM+bd7+Brzm3xGRKPAScD1wEfCaiIwr6OpM+9nnFDjvbfjmv9ztPqfs8CV0794doEUbhYTDYaZMmcIDDzzA+++/3+R8evu2lpg8eTLRaJQ//OEPjY7ffPPNec9ljDHGdFbpAXJ6V4tilE+JxQRgeuD+Sbg65B8AbwH347pZ7PhIyrSNngN2eHu3oP32cxnrSy65hFNOOYVoNMpxx2XvpPHb3/6WZ555hv33359zzz2XkSNHsm7dOl5//XXmzJnDkiVL8nr+fv368dOf/pRrrrmG4447jmOOOYY5c+bw5JNP1redM8YYY7q6JltNd4IMcj4B8iBgceD+l4AFqvoXABG5FfhOAddmurjx48dz9dVX86c//YmnnnqKVCrF4sWLs44fNGgQr732GldccQUPPvggq1evprKykr333purrrqqVWu46qqrKCsr469//SszZ87koIMO4umnn+ZLX/pSa1+WMcYY06k07WJR/BlkaekFSSKyCbhQVf/q3V8OTFfV/+fdPwv4s6qW55gmON9E4Jksp0ep6nuBsYcA1wH7ApuAB4CL0jtniEgpcCVwOm7b67eBS1R1Zobnb7c58yEiGysqKiqylRn4nRb8elnTcdj3xhhjTFfw6NxPOe/+ufX3D9+jH3d/68B2WUvv3r2prq6uVtXe2zNPPhnkxcAXgL+KyKG4jHIwwB0MVLdiDTcDb6YdW+F/4tU1zwQWAD8GhgA/BXYF0t9vnwac6M35IXAm8KSIHKGqL3egOY0xxhhjOoWmJRbFn0HOJ0D+O3CjiMwHdsZtDvLfwPmDgPcyPbAZz6nqIznOXw18BkxU1S0AIrIEuE1EjlLVWd6xA3H1zxeo6s3esbuB+cC1wOEdYU5jjDHGmM4kPSDuDDXI+XSxuAW4DLe12lu4nfO2AYjITsDngP+0ZhEi0lNEmgTrItILtynJ3X7Q6bkb2AJ8LXDsJCCO2+kPAFWtBe4AJojIoA4ypzHGGGNMp9Glu1ioK1b+tfeRfu4zoH8r1/APoAeQEJFngJ8E+imP9db4RtrzxURkLjA+cHg88F5agAquNZ0A44CVHWDORkRkY7ZznopmzhtjjDHGtJtYeolFJ7hIL58McqHFgH8C5wHHA1cABwIvisge3phB3u3KDI9fiat7JjA22zgCY9t7TmOMMcaYTqMzllhkzSCLyFTv03+oqgbu56Sqd7dw3GxgduDQYyLyOC4LexlwGuB3xKijqdrAebzPs40jMLa952ykuassvQyzZZGNMcYY0yF1tRKLaYDiNgCJBe7n2v9XcXW3raKqb4vIDGCSd6jGuy3NMLwscN4fm21ccK72nrOgQqEQ8Xi8raY32yGZTBKNRtt7GcYYY0yb6mobhRwJro42eH8HWEZDgOyXLAzKMG4QgXZw3ths4wiMbe85C6qsrIwtW7awfv16+vbt21ZPY/K0fv166urq6NmzZ3svxRhjjGlTTTYK6cwZZFV9Ltf9NrQrsNb7fD6QAPYnsM21iJTgLpC7N/C4ucB5ItIj7aK6g7zbtzvInAVVWVlJXV0dq1evZuPGjYTD4bZ6KtNCyWSyPji2LamNMcZ0dk1LLIo/g9xuF+mJSL8MxybgMtX/BVDVamAGcLqI9AgMPR3X+eKhwLF/AlHgnMB8pcBZwEuquqKDzFlQIsLOO+9MZWWlvZ3fQUSjUSorK9l5550RyVWRZIwxxhS/JiUWnaCLRa6L9A7Pdi4XVX2+hUMfEJFtuAv11gF7Aed6n18eGHeJN+ZZEbkdt0PdT4AnVXVG4HlfFZGHgOu8/sQfAWcAw3C739ER5mwLIkK/fk3+3jDGGGOMaXN+BrkkEiKWSHX6GuRncRfdtZR441v6Hv8juE4VPwF64Xbmuxe4XFU/8Qep6hwRmYzbue4mYBNwG3BRhjmn4vo0TwX6AO8Ax6rqS8FBHWBOY4wxxphOwQ+Iu5WEiSVSnaKLhbj9PzKcEDmjNROq6l3btSLTiIhsrKioqNi4cWN7L8UYY4wxpokfPzCX6W99yuCKMlZU1xIS+PiaL7XLWnr37k11dXV1c210m5PrIj0LdI0xxhhjTE5+xri8xBURpBSSKSUcKt7rcNpzJz1jjDHGGFPkGkosGvKu6Z0tik2uGuSMRCQMjMTV4zYJsPO4SM8YY4wxxhS5eFoGGSCRKu4L9fIKkEXk58AvcBfVZWONeI0xxhhjuoh4quEivfpjiVTm/YWLRItLLETkbOAa3OYZl+K6VtwMXA+sB94AvlXwFRpjjDHGmA4rnnAZ5EYBcpH3Qs6nBvl7wCuqeiRwq3fs36r6C2BvYBcse2yMMcYY06XUl1hEGwoTir0Xcj4B8igadoTzX3UYQFVX4oLm8wq3NGOMMcYY09FlLLEo8ov08gmQk8BW73P/dqfA+SXAiAKsyRhjjDHGFImMJRZdKIP8CTAcQFXrgGXAYYHzB+BqkY0xxhhjTBeRSGXqYlHcGeR8ulg8D3yJhq2THwLOF5FyXKD9TeDOwi7PGGOMMcZ0ZPFkpi4WxZ1BzidAvgV4W0TKVbUGuAzYA/C3pH4a1wLOGGOMMcZ0EbGEn0EObBTSVTLIqvo+8H7g/lbgKyJSASRVdUsbrM8YY4wxxnRgfjlFt2igxKLIa5Dz3kkvnapWF2IhxhhjjDGm+PglFqXRECGBlBZ/F4vWbDXdDdfzeCfcZiGN2FbTxhhjjDFdhx8MR0IhIuEQsUSq6wTIXmB8I3BWlscJrj+ybRZijDHGGNNF+MFwSUSIhoQYXavE4hbgbOA/wCzgszZZkTHGGGOMKRp+iUU0HCIaCUEs2XUyyMAU4D5VPa2tFmOMMcYYY4pHKqUkvZ30IqEQkZDbYsPfXa9Y5bNRSBnwbButwxhjjDHGFJlgO7eSiBANu8vT/N31ilU+AfIb2FbSxhhjjDHGE9xSOhIKEQ270LLYd9LLJ0D+BXCWiOzfVosxxhhjjDHFIxGoNY6GQ0T8DHKRX6SXT4B8LrAceEVEXhCRu0TkzrSPO7ZnMSJyoYioiMxNO/6sdzz94/4Mc5SKyLUiskJEakTkFRGZlOX5DhGRF0Vkm4isEpFbvG4dbT6nMcYYY0yxiyXTSiz8GuQudJHemYHPD/U+0imu00XeRGQgcCmwNcuQT4BL0o4tyTBuGnAicDPwIW7dT4rIEar6cuD5xgEzgQXAj4EhwE+BXYHjdsCcxhhjjDFFLZFeYhGRJseLUT5bTeeTbW6N3+LqnENA7wznN6jqPbkmEJEDgVOAC1T1Zu/Y3cB84Frg8MDwq3Gt6ib622SLyBLgNhE5SlVntdWcxhhjjDGdQTBTHI0Eu1gUdwa5rYPeFvGC0G/isq65xkVEpEeOIScBceB2/4Cq1gJ3ABNEZJA3Ty/gaOBuP5D13A1sAb7WxnMaY4wxxhS9RgFyWCjxLtKLJ7pIBtknIgKMx5UNAHwMvKWqrfpKePP9AbhLVee6uxmNwpVflIjISuCPwG9VNfgnynjgvbQAFeA13E5/44CVwFjca38jOEhVY1798/g2nrOeiGzM8np9Fc2cN8YYY4xpF8GL8aKhhov0ir2LRV4Bsoh8EfgzMCzt1BIR+b6q/rcVa5gKjAa+mmPMR7jd++YBvYBvAL8BhgLfDYwbBHya4fErvdvBgXHB4+ljD27jOY0xxhhjil6TEgs/g9xVapBF5FDgMVwW9xbchWgAY3AXrT0mIkeq6uw85uyJqz3+rapmCiwBUNX0C//uEpEHgXNF5CZVfd87Xg7UZZiiNnA+eJttbHngflvMWU9Ve2c67vMyzJZFNsYYY0yH07gPslBS3+at62SQfwWsAg5KD2ZF5HrgVW/MF/OY81IgBtyYx2N8NwAnA0cCfoBcA5RmGFsWOB+8zTa2JnC/LeY0xhhjjCl68fQ+yN5FeokiD5DzuUjvIODWTJle79htwOdaOpl3cdv5wJ+AASKyi4jsggsmS7z7fXJMscy77Rs4tpKGUocg/9iKwDhyjF0RuN8WcxpjjDHGFD0/QA6HhHBIGjYKSRV3iUU+AXIJsDnH+U3emJYa4I2/Flgc+DgId0HeYuDnOR7vXyS4NnBsLjAyQ6eLg7zbt73b+UACaLQroIiU4C66m9vGcxpjjDHGFD2/33Ek5ALjhi4WXSeDvBA4RUSalGV4x77ujWmpxcCUDB8LcBuATAHuFpFeItKobEFEwsDFQAqYETj1TyAKnBMYWwqcBbykqisAVLXae9zpaYHv6UAP4KE2ntMYY4wxpuj5O+n5gXFDF4viziDnU4P8F+BWYKaIXAe86x0fA/wMl1E9t6WTeQHlI+nHReR8IKGqj3j3JwL3ish9uF3seuB6Cu8PXKuqiwNzvioiDwHXeSUcHwFn4LpunJn2VJcAs4FnReR23K53PwGeVNUZbTmnMcYYY0xnUJ9B9gJjv4tFrMhrkPPZSe92ERmB2zp5QoYh16vqHQVbWYOlwEu4rZ4H4LLG84EzVfWuDOOnAr/2bvsA7wDHqupLwUGqOkdEJuNKPG7ClYjcBly0g+Y0xhhjjClqfg1y1AuM/UxysV+kl1cfZFX9uYjcARwPDPcOfww8pqofFGJBqjox7f5iXLeKlj6+FpfR/lkLxr4IHNoecxpjjDHGFLtYWoDs1yInukofZJ8XCF/fBmsxxhhjjDFFxA+Eo121xCIT7+K843Gt1h5X1VUFWZUxxhhjjOnwmpZYdI4Mcou7WIjIdSLyeuC+4Lo2PAj8DZgnIrsVfonGGGOMMaYj8gPkSH0XC68GOVXcGeR82rx9EXghcP844HBcucWp3rFfFGhdxhhjjDGmg/O3mi6pL7Fwt7EizyDnU2JRBSwK3D8OWKyqvwAQkTHAaQVcmzHGGGOM6cA6axeLfHfSSwTuH0njTTo+JvM2y8YYY4wxphNK1JdYeBnkTtLFIp8AeRlwMNRni3cFnguc7w9sKdzSjDHGGGNMRxar72LhQspoxNtqusgzyPmUWNwP/FJE+uN2z9sE/CdwfjxulzljjDHGGNMFJNJKLKIhL0DuQhfpXQNMw2WRFZiqqhsBRKQC+Aows8DrM8YYY4wxHVRDDXLji/SKvcQin62m64CzvY90m3H1x9sKtC5jjDHGGNPBNSmxCHe9EousVDUFVBdiLmOMMcYYUxyalFh4GeR4V8kg+0RkALA/0IcMJRqqencB1mWMMcYYYzq4JiUWoc7R5q3FAbKIhIA/AeeQu3bZAmRjjDHGmC4gnsrWxaK4M8j5XKT3U+A7wH3AGYDgds77AW4DkTeAowu9QGOMMcYY0zHFE+ldLLwSi1QK1eINkvMJkM8AnlLVqcCT3rE3VfWvwH5ApXdrjDHGGGO6gKZdLFxoqQrJVNcIkHcFnvI+9wtLogCquhX4O678whhjjDHGdAEJLwiOpF2kFzxXjPIJkGuAuPf5Flwv5P6B86uAqgKtyxhjjDHGdHCx9BKLcENoWcyt3vIJkJcCuwGoahz4EPhi4PxkYHXhlmaMMcYYYzoyP0tckrZRCBT3hXr5BMizgCmB+/8AviEiz4jIs8DJwIMFXJsxxhhjjOnA/CxxJEMGuZhbveXTB/l3wNMiUurtqncNrsTim0ASuBW4rPBLNMYYY4wxHVGTEotQoMSiK9Qgq+pKVf2vFxyjqklV/X+q2ldV+6nq91S1dnsWIyIXioiKyNwM5w4RkRdFZJuIrBKRW0SkW4ZxpSJyrYisEJEaEXlFRCZleb52m9MYY4wxptgl6vsgZyixSBRvBjmfEos2JSIDgUuBrRnOjQNmAmXAj4HbcT2ZH8gw1TTgAuAe4Dxcx40nReTgDjanMcYYY0xRizfZajpQYpEq3gA5r62mRaQnLlD8PDAAmKqqL4tIJfB94EFVfa+Va/ktbrORENA77dzVwGfARFXd4q1lCXCbiBylqrO8YwcCpwAXqOrN3rG7gfnAtcDhHWFOY4wxxpjOoMlGIV3tIj0R6YcLYH8J7ITri1wOoKrrcBuJnNuaRXhB6DdxWdf0c71wO/Td7Qednrtx7ea+Fjh2Eq4V3e3+Aa/s4w5ggogM6iBzGmOMMcYUvXhaiUVnafOWTwb5KmAgcBDwCbAm7fyjQMa63FxERIA/AHep6lx3t5Gx3jrfCB5U1ZhXqzw+cHg88F5agArwGm5r7HHAyg4wZz0R2ZjpeEBFM+eNMcYYY9pFeolFV2zz9mXgz6o6B7dJSLqPad1GIVOB0bj640wGebcrM5xbCQxOG5ttHIGx7T2nMaYrqqmBN9+E555ztzU17b0iY4zZLgkvCI6EvAxyqOu1eavEbQ6STQp3cVqLeTXNvwV+q6qZAkvwyjiAugznagPn/bHZxgXnau8566lq70zHfV6G2bLIxhQzVZg5Ex56CGIxd18ESkrg5JNh0iR33xhjikzMzyBHXGAcCgnhkJBMaVFnkPMJkFfh7aSXxXhc6UU+LgViwI05xvgpltIM58oC5/2x2cYF52rvOY0xXcnMmTBtGlRVsZUw1TVxKsqjdCfpjgNMntyeKzTGmFbxSyxKArXHET9A7iJdLP4DnC0if8AFtfVE5CBcqcTNLZ3Mu7jtfNxFfwMCtcdlQImI7AJU01CyMIimBgErAvdX5hhHYGx7z2mM6SpqalzmuKqKhevrmLlwNSERUqpMGjWAUVVV7vyECVCW15twxhjTrpIpRb0ksV9iAa4euS6Rqi+/KEb51CBfASSAt3C76ClwhojcBzyPCwCvzWO+AUCJ95jFgY+DgFHe5z/HtVNLAPsHHywiJbgL5OYGDs8FRopIj7TnOsi7fdu7be85jTFdxbvvQizGVsLMWLiaREqJJVMkUsrMhavZStiVXSxY0N4rNcaYvAS7VPglFtDQ0aKYu1jks5PeKuBzwKvAt3AdHE7HtS97GjhMVdfn8dyLgSkZPhYAS7zP71bVamAGcHpakHo60AN4KHDsn0AUOMc/ICKlwFnAS6q6wnst7T2nMaar2LIFVKmuiZNeZRwSobom7mqSt6Q3yjHGmI6tUYAcuDgv4pVbFHOAnNdGIaq6DDje6/m7Jy5I/jDPwNifqxp4JP24iJwPJFQ1eO4SYDbwrIjcDgwBfgI8qaozAnO+KiIPAdd5JRwf4fozDwPOTHuqdpvTGNOF9OgBIlSUR0mlvduYUqWiPArV4sYZY0wRCV6EF40ESixC0uR8sWnVVtOquklVX1fV11oTHLfi+eYAk3EdIm4Cvg3cBpycYfhU4Bbv9ve47O+xqvpSB5vTGNMVjB4NJSV0J8meA3vWH46EhEmjBrgL9UpKYMyYdlykMcbkr1EGOXCRnl9u0SXavInI7sDuqvpU4NhBuE4UfXEbfdy6vQtS1YlZjr8IHNqCx9cCP/M+mhvbbnMaY7qI8nLXym3aNAaU9mShd/jMQ4bTQ5KwfDmccYZdoGeMKTpZSyz8DHL622ZFJJ8Si2txgfBTACJSCTyJq6+tAf4iImvSSiOMMcZMcpuMRm6+nZ2r1wFQuiIK5WUuOJ6U9yakxhjT7rKWWPg1yIkukEHGdWcIZoi/AfTCdWj4AHgWOI8MdcXGGNOlicDkycyq6cfT/3qW7rEavnDuRKL7j7PMsTGmaCWylVh4nye6SB/kfjTu5ftFXBeH+QAicj/uIjVjjDEZbA2XMH/g7u7zsfvQy4JjY0wRi2XtYtG1LtLbCvQGEJEwMAHX/9hXg8soG2OMyaA2nqz/vC5evJkVY4yBXF0sir/NWz4B8gJgqojshOvO0AP4X+D8MGBtAddmjDGdSl2gHq82kcwx0hhjOr5giUUkFOxiId754s0g51NicT3wKLDGu/8W8ELg/OeBOQValzHGdDrBANkyyMaYYteoxCLckEH2g+V4V6hBVtV/i8hRwPFANfBHVbcDt5dVXg7c3SarNMaYTqAukDUOllsYY0wx8jPE0bAgkqmLRdfIIKOqz9O47tg//hlwQqEWZYwxnVFtIGtcV8Ttj4wxBhpqjIPlFdCQTe4qXSwAEJHuwMHAAGCGqq4u+KqMMaYTsgyyMaYz8QPkYHkFQMTPIBdxDXJeW02LyPeAT4GnceUUY7zj/UWkVkS+XfglGmNM51BnGWRjTCcSry+xyJxB7hJdLETkROBPwDPAOUD9nwuquga3w95XC7w+Y4zpNGotg2yM6UQaMshpAbJXcpHoCgEy8DPgGVWdgutmke4NYK+CrMoYYzohyyAbYzqT+ov0IuklFl1ro5CxwMM5zq8E+m/fcowxpvNq1AfZMsjGmCLnt3mLNrlIr2ttFJJsZvxg3G57xhhjMmi0k55lkI0xRS5riUV9F4uukUF+G/hCphMiEgJOBl4vxKKMMaYzarxRiGWQjTHFzS+xiGTtYlG8iYB8AuQ/AseIyK+Bvv7jRWRP4CFcR4vfF3h9xhjTaQTbvFkG2RhT7GJZM8jFHyDns5PeAyIyFrgEuMg7/BSum4UAl6vqk4VfojHGFD9VtRpkY0yn4meQS5p0sZBG54tRvjvpXSoi04HTgJG4wHgR8A9VfaMN1meMMZ1CLJlCA/9XWAbZGFPs6nfS64QlFnnvpKeqc4A5bbAWY4zptNIDYssgG2OKXXMX6XWVNm/GGGNaKdgDGSyDbIwpftl30vM2CkkV779zWTPIInJnK+ZTVT27JQNFZH9cPfO+uP7J1cBc4EpVnR0Y9yxwRIYpHlDVU9LmLAWuBE4H+uA6b1yiqjMzPP8hwHXe828CHgAuUtVtbT2nMabrSc8YWwbZGFPsGjLInW+jkFwlFmdmOOa/UslwXLzbFgXIwG7e89+G22SkN662+XkROUZV/xcY+wkumA5akmHOacCJwM3Ah7jX8KSIHKGqL/uDRGQcMBNYAPwYGAL8FNgVOG4HzGmM6WLSM8aWQTbGFLvsJRaduAZZVRu9WhHph+tasRSXJX3XOzUGuBCoAr7Y0idW1QdwGdbgc/wF+Bg4DwgGyBtU9Z5c84nIgcApwAWqerN37G5gPnAtcHhg+NXAZ8BEVd3ijV0C3CYiR6nqrLaa0xjTNQVbvIFlkI0xxS+epQ9y/UYhRZxBzqcG+UZgjaqeoKqvqOom7+NlVZ0CrPPGtJpXirAWl01uREQiItIjx8NPAuLA7YH5aoE7gAkiMsibpxdwNHC3H8h67ga2AF9r4zmNMV2QZZCNMZ2NnyFu0uatE2SQ8wmQjwUez3H+cW9MXkSkp4hUisieInI1sBeuVCFoFG4b680iskJELvZ27wsaD7yXFqACvIYr/xjn3R+Ly5w3akunqjFcDfT4Np6zERHZmOsDqMj2WGNM8bAaZGNMZ+NfhJdeYhEJFX+AnE+bt1JcXW02Q7wx+fo7rsYXIAb8FVeu4PsImAXMA3oB3wB+AwwFvhsYNwj4NMP8K73bwYFxwePpYw9u4zmNMV2QZZCNMZ1NLNFMiUWqeEss8gmQXwR+JCJPqerzwRMicgTwI29Mvq4A/oYLsE/HBdlRoA4gQ1eMu0TkQeBcEblJVd/3jpf7j0lTGzgfvM02tjxwvy3mbERVe2c7By7DjGWRjSl66W3eauMWIBtjiltnLrHIJ0D+MS4AfkZE3gDe846PBPbHtTX7Sb4LUNV5uOwwInIPrkxhGq7+N5sbgJOBIwE/QK4hcwa7LHA+eJttbE3gflvMaYzpgtIv0ku/b4wxxcYvsWi6k15DmzdVRSS9+VnH1+IaZFV9F9ff9wFcTfDp3sco79h+qrpgexajqnHgUeAEEcmadQWWebd9A8dW0lDqEOQfWxEYR46xKwL322JOY0wX1GSjEMsgG2OKXDyRe6MQKN4yi7x20lPVJap6Ku4t/0HeR29VPVVVPy7QmspxF8D1zDFmV+92beDYXGBkhk4XB3m3b3u384EELutdT0RKcBfdzW3jOY1prKYG3nwTnnvO3dbYGw6dUXrGOJZMkSrS/ziMMQYgnuUivUYBcpG2emvVVtPqrPY+WpUG8foqpx/rhSudWKaqa0Skl7eTXXBMGLgYSAEzAqf+iatdPicwthQ4C3hJVVd4a6/2Hnd6WuB7OtADeKiN5zTGUYUZM+D88+GPf4S//93dnn++O67F+Y+KySxTzbFdqGeMKWZZd9ILNdyPF+l20/nUIBfaAyJSC8wGVuE2GjkLd7Gev4X0vsC9InIfbhe7HriewvsD16rqYn8yVX1VRB4CrvP6E38EnAEMo+mugJd4z/usiNzuPedPgCdVdUZbzmlMvZkzYdo0qKpiK2Gqa+JUlEfpTtIdB5g8uT1XaArIzyB3LwmzNZasP1ZeEm7PZRljTKu1pMQiXqSJgPYMkO8BpgL/D+gDbAReAU5X1ee8MUuBl3Bt4AbgssbzgTNV9a4Mc04Ffu3d9gHeAY5V1ZeCg1R1johMxu2GdxPuAsPbgIt20Jymq6upgYcegqoqFq6vY+bC1YRESKkyadQARlVVufMTJkBZWfPzmQ7Pzxb3Ko/WB8jWycIYU8zi9RfppQfIDRnkYq1BbrcAWVXvBO5sZsxiXMlFS+esBX7mfTQ39kXg0PaY0xjefRdiMbYSZubC1d4/IO4fkZkLVzP00OF0j8VgwQLYb7/2XaspCD9AriiPsrK61jtmnSyMMcWroc1beh/kUJMxO4qqEgmHSrZ3nvbMIBvTdW3ZAqpU18QJieAHxwAhEapr4nRXdeNMp+DvnNerPBo4ZhlkY0zx8i/Aa7KTXiBgjrfxRXrrVn3CumUfUFm1B4tffQKp20z3SPb9J1rKAmRj2kOPHiBCRXmUVNrFeClVKsqjUC1unOkU/LZuFYEA2TLIxphi5meHm5ZYBLtY5J8IWLO5lmXra6jqW07/nhnKDDevho1LeevVWYycdwOlhCklxr6kCCactsd2B8giUgn0UdVFBViPMV3D6NFQUkJ3kkwaNYD/LlgFuOzxpFED3IV6JSUwZkw7L9QUih8M9yqzDLIxpnOIJbKUWISCJRb5BazT5yznounzCImgqlx9wlhOGBGFjUuh9zD4+Bn08fNIpoRxyRraag+SFgfIIjIVmKCq5waOXQNc6H3+CvBFVd1c8FUa09mUl8PJJ8O0aew5ZAj/9Q6Pr+rNqL6lsHw5nHGGXaDXifjBcPfSMJGQkEipZZCNMUXNvwAvEspVYtGyRMCazbW8s2wjF/7zHfqkNlAla1im/Xnl4T8xpfROJBSBeC2qSQR1AWxacFzI7qj5ZJC/Q8O2zojI/sDPgedx206fjduO+orCLc+YTmzSJAAS9z/AztVrAKhYWwM9Ey449s6bzsEPhsuiYUojIRKxpGWQjTFFrb4PciTXTnrN/zs3fc5ybpj+AgNTqziVxVxUeh8JwpQQI0IKSTREvrkSxnHCzYxouXwC5N1pvOHFycB64POqGhMRxfUotgDZmJYQgcmTqd57f+668C66x2o4av9d2fv7X7HMcSfkd7EojYQoi7peyJZBNsYUK1WtL59I3ygk2pKL9Lw64nXRgcye/hdmhG9Hw1BOLGfZhCqNzqvCVsoJk2T+vlegpRexbeuW7d6SNp8AuQKoDtyfBMxQ1Zh3/w3gm9u7IGO6mtpICfMH7g7ALkOrLDjupPwuFqWREKVetsUyyMaYYhXsb5zexUJE6kvJ/CxzsNtE5erZ6OPnkZIwveO1XBtOEZbMgXR6QBwnTEpDxIgQJcn1qVM55vPHMHzEaA4YOBSRi0kkU7GMk+UhnwB5FTAC6reJHgf8PXC+B2DpEGPyVBNv+LXZFrdfoc7KzyCXRcOURcPeMft+G2OKU7C2OD1ABhgYrqa/riK0ZRdef/Qh9ppzGWVe2URKUoRQ6vcRzZExTg+If5k8h9m6N7tG1rEkVcmPpxzGAfsOKeyLI78AeRbwAxFZDxyJ66Px78D5PYFPC7g2Y7qEmlgy4+emcwmWWJRYBtkYk0tNjdtQassW1+5z9Gh3cXcHEiydqC+p8Mom+PQtZoQuJVYSpvtjV0EqmTVDDBnKJgAp6YGmElxa9y2eie9Vf9He5mhfpv/gEGpiqext4AognwD5V8AhwHXe/atUdQmAiERw20H/q6CrM6YLCGaQay2D3Gn52eLSiGWQjTFZqMLMmfDQQxCLNUSOJSWu89GkSbRZX7M8xZMp+rGRKllD7YbdYO2T8Ph5bn3xGsoEysCLdhs/NlPZRDgUQcMlhDWOHH0lDB6P9B7G5xbFeezheSwKVRJPpbh6ylhGD6po89fX4gBZVZeLyBhgNFCtqp8ETncDzgXeLvD6jOn0ggFyjQXInZafLS6NWg2yMSaLmTNh2jSoqmIrYapr4lSUR11v/GnT3JjJk9tvfX6GuPcwFjz1AM+X/poEYUof/DUqKSTLJh3N1RFfpudw4bnfozK+yvU67jmgfuwJ+8KEEZW5Nw5pA3ltFKKqSWBehuObgEcLtShjupJgWcU2K7HotOrilkE2xuRQU+Myx1VVLFxfx4yFq+sTr5NGDWBUVZU7P2FCQS/mbumudXz6FjrjVyQlSihZy4RkkrC07I/89ID48aqf8fulVewSaqgjrhw4BBia8fH9e5btsMDYl1eALCJh4DTg88AA4EJVfUtE+gDHATNV1eqQjclDMEC2EovOq74GOZBBrrMMsjHG9+67EIuxlTAzF64mGegSMXPhaoYeOpzusRgsWAD77VeQp5w+ZzkXT59HJBwi4ZUvNMrWfvyI27WOEOHENgSIUOse3EzZhAJbtIzSkPLz2Ld4MTWW33+xDyNG7sXXBg5lYnOBeTvLZye9bsDTuDrkrbiyij7e6U3Ab4E7gUsLvEZjOrVGJRaWQe6UVLVJH2SwDLIxJmDLFlCluiaOiz4bAuSQCNU1cbqrunEFsGZzLb+YPs9tF+39+/STB99mUHgTu0TWIskYd0WuIUIiY7CYqWwiGo4gkVJIxvlj+Js8s2lnVoUHsiLVi/2G9eHgiYfUj2+PrHA+8skgXw7sD0wBZgOr/ROqmhSR6cAXsADZmLzUWg1yp+cHx9Cwkx5YDbIxJqBHDxChojxKMm3P5JQqFeVRqBY3bjus2VzLss+28a+3lhNLNFxot0z7c1xoNhdF7kNQwuFUs7vWpTREnCgREszf9woOOOrE+hrlf9/xPu9Vb4aEG/+VfQZv17p3tHwC5JOBW1X1URHZKcP5D4GvF2ZZxnQdjdq8WYDcKQUDZMsgG2MyGj0aSkroTpKepRE21cbrTx0wvK+7UK+kBMaMafVT+Fs6D9LVLE32Y0poHtdEb0eAKHFCzZVNKGyhjAgpLtNzOPuMb6Hrl1JZtQcHDPTqh3sOgJoaRq1YRMXytWwtKefjfkM5duygVq+7PeQTIA8md5eKbUDP7VuOMa1QBP0icwkGxbFEimRKCaf/K2WKWl3ge1wasQyyMSaD8nI4+WRqb7+Dmi0JiETrCy1CsRgsXw5nnNG6C/Q2r2b9ig+Y//A/mRG+lxRCaSRGGM3ZNa6GKGFV6ogSJck18W/wYXR3Pkn148dTDmPP3YbAbiMaHhBoU/fld5axfovb0G6nvj3p92rPDtWmrjn5BMifATvnOD8GWLF9yzEmD0XULzKX9KxxTTxJj9K8rp81HVzjEgvLIBtjspg0iTkfraP3X+6iTBPs0rcbH6/bymdshct/5P5fy6BJJ4pAOzY+fgYeP4+KFPwyVJvzv8X0lsWRUIiTElfSKxRnSaqSc770OY4f0jv7hXWBNnVr+8RZFXYX9O01vE/HaFOXh3z+F54JnCUiv0s/ISLDgW8B/yjUwoxpVkfvF9lC6Rfm1cQsQO5sgoGwZZCNMVmJ8HDfUTw26duc0n0ze+zZm7v+t4RFlUN54cAJ9M8Q3U6fs5yLH55HNBQinkrxj/0Xc8C8KyAchXgtaBI05bZ1bqaEQiSKhkIkQ27DjpLjbuH2Xb/asm4TaW3qVm+qrT8Vj0RhUNu0qWsr+fwvfAXwBvA6cB/uD40visjRwHeBOuCagq/QmEzSfhFnLlxNSISUapv2i2wL6Rlka/XW+QQD4VLLIBuz4xVJKZ6q8sKiddRFS6k6ehwjD9mFpYv+R11tgpnvreEbBzbuE7xmcy0XTZ9Hr8R6qmQNKRX2mfNrkAQkarM8S4OUhAlHohAugWQcjrsZ2fVIIn72uecA+kPLuk2ktakLXmb4/Adr2a1f4dvUtaV8dtL7UEQm4Vq5Xekd/ql3Ox84XVWXtXQ+EdkfuATYF+gPVANzgStVdXbaWH+L631xLeUeAC5S1W1p40q9tZ2Oa0H3NnCJqs7M8PztNqcpgMAv4oz6fpHu17Gt+kW2lfQMsm0W0vk0ziCHKI1aBtmYHaLISvE+XLOFVV7m9bAR/YiGQxyxRz+eeGclMxeubhQgr1v1CS+88jpn6X/5cek/EZQIqSYvJ9OFdslod8IkCR93C+x6ZEM5hr+DXWAnuxYLtKkLSdu3qWtr+e6k9yawj4jsBYzCJesXqepbrXju3bznvw1YCfTGbULyvIgco6r/AxCRcbjyjgXAj4EhuMB8V9zmJEHTgBOBm3FdNc4EnhSRI1T1ZX9QB5jTbK+0X8RkEf8iZqpBNp2LvyGICJSEQ5RFLINszA5RZKV4zy9aB0D/nqXsMcC1czt69ACeeGclCxd9SN3HCUr77crcp+5kzPzrOZ4U4Yg2CYBzbet8I6dx4he+zMiRY7cvIE4XaFOXasM2dTtKqwodVXU+Lmvcaqr6AC7DWk9E/gJ8DJwH/M87fDXuAsGJqrrFG7cEuE1EjlLVWd6xA4FTgAtU9Wbv2N3eOq8FDg88VbvNaQok+IuYKu5fxPSSCtsspPMJbhIiIpZBNmZHKMJSvBcWrQVc9li2rIGNSzly8GBOjLzAb8K3E/6HoBpjHDSpJ/bVEiUU6DxxcfxsXkyNre91vDnal2+PnACF3qQj0KZu0qgBTb7ehWhTtyN1qCuBVHWbiKzFZZMRkV7A0cD1ftDpuRu4Cfga4AeeJwFx4PbAfLUicgfwGxEZpKorO8CcphACv4jjhvbmzaUbAAiLFN0votUgd37+97TUyxz7t3X2vTam7RRBKV6w+0SiehXbPppNP/pxatlSuOUKEKFXvI7fRbxNO7S5GQGE4+uupJvUsUz7syncBw0LtZFK4t520m2yg53Xpo5p0xhVVcXQQ4c3zthvT5u6dpA1QBaRj1sxn6rqbvk8QER6AqXATsAZwF401DiP9db4RtqTxERkLjA+cHg88F5agArwGu7vrHG4Uo72nrMREdmY7ZynopnzXVPgF3FweV/e9A4fM3Ygu1eUFNUvYpMuFhY0dTp+BrnMyxzXZ5ATlkE2nVx7XhwXKMVLe6OxoKV4TVqstdBDbyzjxodfYJfQWvZIfcQvIvdxZ1goDceJzGkI5qFpsjhTXbGW9kBSCS6LfYv3GFb/8LKQ8PD3D6Emlsp7jXnz29A99BDdYzH39a32ar7POCNrm7qOKFcG+RNa+LfKdvo7rsYXIAb8FVeuAOBvu7Iyw+NWAgcH7g8CPs0yDtxGJx1hTlMo3i9a6C/T2Ll6DQDdV6YgWVFUv4jpb7PbRXqdj19r7GeO/RrkWCKFqiId6CIhYwqiI1wc55XidSsJo21UEzt9znIumj6PaDhEwsvOnrDvkKzj1636hHXLPuCTZCWvPvZ/PBu9EwVKQ4nc/Ymz1BX72zy/N/anjD/oSOg9jM8tivNYoO3b1VPGMnrQDsq1ibia7kMPbfyH0ZgxRZGwCsoaIKvqxB20hiuAv+Euajsdl02O4trG+X9m1mV4XG3gPN7n2cYRGNveczaiqr2znYP6DLNlkTPxfhFfiw7lH39/ku6xGgZ+ZTyDvnpEUf0iboslGt23DHLn4/8R5Pc/9jPI4LLLfts3YzqNjnBxnFeKt2bd5ian9hnSe7tL8dZsruUX/3qHWFLr3yW6+OF5HD44RWV8lesKAfUdIt56+i7GvHMtPYERJDg6mv1vhOYutEvf5nn8wIbuFifsCxNGVLYqq10w5eUdvoNUc9q9BllV5wHzAETkHlyZwjRc/W+NN6w0w0PLAufxPs82jsDY9p7TFNjmUIT5A3cH4KTdRxdVcAwZapAtg9zp+BlkPxD2M8jgOlxYgGw6lbSL42a8uxrElQns0IvjvFK8DZfdSDTZnYH9K6iJJVm3pY7FKzYwctsaIt86iz75rsHbpe6Ddd2IJ5V+bKy/AG6SLKDvbWd6m3RsAxQkhKYSrtayhUnzOGGi4QgSKYVknLfH/ooL3ujDLqF1LElVZt7mOaB/z7L2CYw7kXYPkINUNS4ijwKXikg5DSULgzIMH0Tjra1X5hhHYGx7z2kKLFjDW2zlCamUNimxsAxy51OXI4Ncm0hSQbRd1mVMm0jbMCKpWl+wuaMvjtt22BH8dfhrTJ7/Avup0KciwtOfriEWjvLTwYfx6mtw9ZDlTcoignXFoa1rWLfsAyqr9qBy9Wx4/Dw0XMIBdbVcHzmA48KvoggREoSAUFIhGdikQ1MZ4+JMdcRbKSdMkvn7XsEBR51Yn30+oOcAph/Vulpn0zp5BcgishtwAXAQbtOMUNqQvC/Sy6Ac9zdWT1w7tQSwPzA9sI4S3AVy9wYeNxc4T0R6pF1Ud5B3+7Z3295zmgLbFi/eALkucJFWr7IIm2oTFiB3QvVt3rzAOJgxrrNWb6azCVwcJ2kbRsgO7lP/zPvreGbIPrw+eBQvHz+YxKZN3PPgu6zbqRcDohvpmdjQpCxi+qK4d/HcOnZPfMAvIvdRTogocVICIVJIopZS4KTISy1eS6ayiUg4Qsrb1nnzYb9iRbc9qazagwP8kolAf2LLCu9YLQ6QRWQs8CKujOB93AYYC3DdJwYCHwHL85ivn6quTTvWCzgZWKaqa7xjM4DTReTqQJB6OtADeCjw8H/iNuY4B7eph78L3lnAS6q6AkBVq9t5TlNgwQxyTVo9b0cXDIb7di9xAXKRBfmmeU3bvDXOIBvTqQT61CfT2kfEkym6l0RcpNjWfeo3r2bhazPoR4i9Ro2g597DeO+9eRw4dDE/5v9cGQNJHmcCfW97CUJhNBlnz8Rgngu5PgWhSH7XEqYHwUHpF9b5WeKQlyXu1XMAvQrywk0h5JNBvhLXZeJA3IYYa4DzVHWWiHwb13ni+Dzme0BEaoHZwCqgChd4DsFtzuG7xBvzrIjc7p3/CfCkqs7wB6nqqyLyEHCdiAzCBexnAMNwu9/REeY0hRe8yK3YMsjBALlP9xKWfLbNAuROKL3Nm2WQTacW6FM/qHcZn26oIZhHfuODlezdTdGhu9F/O57G7whRWbUHlQOHNr6/ejb6+Hl8Jy78oDTJp8kvw83/Zg+Ei6lFpOHq+ZN1FpIEku7t6zGhpVmfM1NZRLaL6cqIAVBLCVGSXMm5HHP8N+ifXJU1S2w6jnwC5AnArar6vojs5B1zfatVbxORw4DfAl9p4Xz3AFOB/4cr19gIvAKcrqrP+YNUdY6ITMbtXHcTsAm3PfVFGeacCvzau+0DvAMcq6qN3gPpAHOaAgoGxVuLLLgMBsN9u5W4Y1Zi0emkt3mzDLLp1AJ96pPeJepjBldQVhLm7Q9XU71oFReOP5qXf/9yi9ui+UGwf4HcW6/OYuS8GyglTIQkz/aYzOe2/I9uhIgESiF6esHr7std9WMImlwol57xbUkW2O8m8RiHc3L4RUKREjQZ49LYt3gmtlf9RXtAox3sLhixO/177pXnF9S0h3wC5J64DCrg/VkE3QPnXwKuaelkqnoncGcLx74IHNqCcbXAz7yPDjunKaxiLrGoTcsggwXInVF6m7doOEQ4JCRTahnkYtWeG2AUg0mTqEukSF10E7sltjK+11q69ezNJ7VbmDH2IKqHlNIzvj5nW7TXZ/2LveZcRilhoiRYOuRohq6aQTIljEvVNQpij9jyn1a3VdaYIutSEFMoEagMuVv/fODiuV8mz+G5xF6Ngt5J376JyvgqJNCDeFGokpp4ApEdsIOdaRP5BMircbXGqOpmEdkK7BE43wewXkVmh9tWxF0sguvt6wfIRfYaTPPS27yBC5a3xZK2tXix6QgbYOwgwU4OQKMOCjnLG7qXwsalLBw6jLmTR3PlxjspIQKRJNFjD+OG6G0kvPrfl3QsfW+dR0pCSDIGIighRJPsp0oo8KUc9ul/AC9wyTMLrE0fgka7E3t/K0vn92U3XQWESGmSxaGB7Dp2I4zoTphEo4vnDlkR4gkvAPaD3sqBQwBXLpHegzj962aKRz4B8lxclwbfc7gOD6/h3rX4IQ1dHYzZYYJdLIot++qvNxoWepZGGh0znUd9F4tAaUVZNMy2WLJRJxNTBLJtgBGvhRtugLffhokTiz6jPH3Ocm6Y/gLDQmv5KL4TIsKukXUsTfXj+0M/4YRPf1df3vB6n8mM3eDKG0qIkQqFCIUi7J2MM7abEu6u+G88n6TPeoFrHIBJMgeCvwKqiHdgey6OSy+FeEQncErJbCRcAsk4HH0F8lGc5bOe4H8lPXkhmqJftIZVsTIG9urBiLqtyK5HwnEnN7p47oSBzW/Ckd5twgLj4pRPgHwv8AMRKVfVGuCXuCD5Ge98DXBxgddnTLOCZRVb64qrxMLPFpdFw5SXhBsdM51Heh/k4OeWQS4iaRtgzFy4mhAweMNKjkiso09E4W9/g7lzoVu3DpFRzicL7Nf3fkp/Xpr+V2aGbydJiNKSGCAkCREOJwl9CiFp6E5xwMb/NE7PahKSyRbV++bS3AVxwdKHd/p+gb3X/5cEESIkmpRC1JZWMvrE37JPj2pXyhHpBXeeT9W++6CvLmdzStkcc3t9DezXGxm8Mzw3D044p8m6rN1a19DiAFlVHwAeCNx/S0TGACfgegA/qaofF36JxuS2ta54Syz84KhbSbj+7XcLmDof/0K80kCJhf/9tgxyB5WpxjiwAcaMhatJppSqDSvZc81iPizrxughfZFkNRIpobxv3x23pXJAMCB+cdG6+n6+H8b7IiLsFvmMJalKfjD0E766/HeUEaKEBGv67k2/jW+jwCBN8rtwejCrRMj/ZzXXBW/NnU9vi/ZwagJTQi/Wt2e7PnUqx3z+GIaPGM1BgTIP6TuMJ6Z9SC0p1mpvAMpSKQYNGQZ+YPvmmxCLEY9ESetEx2uLP2PM4F47bDMT0zFt1056qroMuKVAazGmVWo6QYlFeTRMNz+DXGSvwTTPMshFJFeN8R57QCpFdY0rDwgnE4z4bBmbS7uRkjDzPq2md91W3p3zCaM+V7FjtlT2sr7pG1x8lNiJg3mH/0XucFngaB2CkCJEOJQgtLxxYNp/wxwgkPDNI6htLsiNhCOEvC2T2ecUePt+CEfRZIz7Y4fwVVzQm94W7TI9h7PP+Ba6fimVVXtQtiLE0d7r87dbPiDQAaNy4FCXCQeunlLOxQ/PIxoKZb5ALrCZSSQkxJINUXJoB29mYjqmVgfIIhLB9UTeGXhXVRcUbFXG5KGo+yAHSyy8jGKxvQbTvLoMGeRSyyB3TNlqjEnCjBmQSlExuIpUSulXs4mwpkiFGr6vSYVaCTe7pXIw09vs2/WBIJieA+ozpTtve48eL/yapEQJpWKUx/ZhVuhNFCEcSRKi8UVu7lK1zD9v+QS9SQmTCGR2/fIGP8gNhwSNlBOP1XFp8hyuOu9HlG9dXr9+Jl4EG5civYdRuiheH/SmZ7l/POUw9txtCOw2AvDrf6e06Ot2wr5DctcKBzYzSWnjFHJKlYryKFTvgM1MTIeVM0AWkYm4Eoqr/J3tvOPDgUeAvQLH7lLVb7XJKo3JIpXS+hZaANuKrQbZzyCXhCmzDHKnld7mLfi5ZZA7kLQa4xkLV9cnUieNGsCoMWPg3/+GkaNRIJpMEKIh2RpKJUmGQnzWrYJwjizk9DnLuXj6PKLhhuxmsBdwpg0vkhIlrHE+GTCJQcv/Sw+glAQiEKEWgGPCr7X4pTZX+hAnTDgUQcMlhBM1IEIyXEZY40SOu4WNAw6pX+NBA4fy0lsLuOHBp1mm/bl16v4sen8+179aS+WgoZT3HQx9BzdM3nNA/eYYruvDlBZ3fcin/jfn2MBmJpNGDXD15CKkVJk0aoD7g6ikBMaMadFzmc6nuQzymcDBqvr/0o5PA8bieh+/CnwBOENEnlPVuwq9SGOySQ8mt8WTqCpSJG2W/AxyeSCDHEukSKaUcKg4XoNpXsNOelaD3KEFaoxnejXGvvqM8NChbHjtLaLaD41GGbpTd6ioYOHyDXSvq+HdAcNJhsJIWhbSzxhHQnDhP9+hT2oDVUl3AdkN05+namtfho8YzeJXn2CvOZd5tcFxkqKESdUHwcM+/XfO8oegfLLA6fW9l+k5XHju9xr1J44EstiVUF/OAHDo+DFc99IGNi1ew9MPvwGbtzBgVS3j9xnR7DrbpetDYDOTUVVVDD10eON3C5YvhzPOaLvSGNPhNRcgHwg8HTwgIiOBw4DnVXWid+yXwFu43eYsQDY7THo5gqoLOIKBSEcWrEEuD6y5Np6ke+l2XSJgOpCGnfQsg9yhBepS3R/ZDQGy+BnhgQOZ2aOC3h8tYnivMN231MGWanbrEeLZ3ruyrJfLjI7duaI+C/lIrILfXfcwVazhw3glx4XmcXXpHV5JgqsNTs4IEZmRYL8mZREtlx4QpyRMKBwhGWo+C5ypvjfY3xfIvSWyKj8JLWPZzLspTSWIhGDXpDK++jXod1a7d/PIaNIkd/vQQ3SPxVy2v9qrNz/jjIbzpktq7n/ggcCitGMTcf9q3O4fUNUaEbkX+FFBV2dMMzK1RNsWSxZdgFxW0nCRnn/cAuTOI9NFepZB7oACdamJZOPvSyLpMsLb1qb4Z6/d+GDSRO45pCcseQdmzqTPmDF8PlLK4++sYFV1LRvXrCFVt5hNp3yTl/5zB/8L3U6cMKWlMcIoEUkR7JIcJfMfSi1pdbaFMiKkeEQn8PXIbFIhV44RPu4W2PXIhswv2bPA+dT3ZjRzJoe+9AR39axgrTb8nB85ZEC7dPNoERG3pkMPbdyxZMwYyxybZgPkUlx/46ADvNvn0o4vAyoKsShjWmpbvGnN8da6RP2udB1drRfgd4uGGwX11gu580illFiyaYmFHyzXWQa54/DqUuu2bavPHYsIqoqiJLbVsnJzkg/2GEp5r+6M++okCE2GffZxWcgt1RwjG/ho0yfsHV1Mckg5PRe8wm9DSliUlmwb0tyGF9NTEzgh9GJ9v9/rkqeyKLx7fdY3NCJKKBAEA40zvzmywK3u7+vVboeHDmWnrevYtG5r/anVdUrljujmsT3Ky62Vm2miuQD5EyC9Qn0CsMZr8RbUDdhYoHUZ0yKZOj4U00VuwYv0ytMyyKZziAUykY0zyF6AbBnkjsOrS/3o8huJJrpT3qMbR48ewFPzVxHbVsOHc9/j8X2Opi5SwpQxA4luW+u6Sxw0Frovh7svoKJUGT84gfQvgUjLOkYEpff+fbzqZ/x+aVWj0oetg1P1pRHf696/adY3VylEWwjUbn+yflujU8+8t4ZdcnTzMKajai5AfgGYKiK3q+p8EZkCjMBdpJduLPBpgddnTE7ZSiyKRbYaZMsgdx518WCAHG7yudUgdyxv7Daem4ccwrHvvcQh/aBq0xqO6lbDK+u3cMfwcazqlqQfGzmr2ydw868AgWQMUPDiUqFxiVem2uBwJArhEpJ1W0kq1FFKhATz972C4Qd9uT4A/trAoUzM0BIueIFcu+/qFqjdDouQDNRuW09hU6yaC5CvAU4D3haRz4CdcBuq3xAcJCJh4CvAv9pikcZk4wfD3UrC9Z8H+yJ3dJn6IINlkDsTfxc9gNKoZZA7sulzlvOzh94huct43tx5NH8bXcPwXpsZ2m849854mpvCtwIQIUHo1ZbP26hlWqA2mI1LCfcexoatdfUB8QFe4JseALd7EJyL9RQ2nVDOAFlVF4vIEcBlwO7Aa7ieyOmbghwJfAY82iarNCYLPxjuVhJB1QWW2+qKJ7isDZRYhEJCaSREXSJlGeROJJhBblyDbBnkDsHbhGNddCC/+NcC+uoGqmQN40s/4OBPHkQjISIL4lwa1ryaMAQvnmvSMi2tNriyZ+OAuOhYT2HTCTV7mbyqvgEc18yYGbgSC2N2qJpABhnUBchFFHBsC/RBBhco1yVSlkHuROqCGWSrQd4hcu1Sl20TjopEHX8NjeTwyHxACeMFxP63Ly04blJHLFEIhyFcQiJex9WJb/CB7J69ZVpnYj2FTSdkfaRMUQuWWKhX91ZTTCUW8bQAORpmI3HLIHcitfHMF+lZBrltZNylbkQUNi7lrVdnMXLeDZQSJlq/CUeyfhOOo8LvZJ03U3eJaDiCREohGYfjbq4vm4j0HsZ3qWh9y7RiZD2FTSdjAbIpasEuEH7pWzFdpBcssQjeWga58whmkBvvpGcZ5EJbs7mWX/xrHhXJ9fW71L3yyJ/4avROUgjjEjU5yyRydZdISZh4oLvE/H2v4ICjTnRdLDKUTfSnA1w8tyNZT2HTyViAbIpaQw1ycQbINeklFlHLKnY2fgAcEogEtkizDHIBeXXEc5aX8CV9rn6XulJiREgRSiohaL5MIpOSHpBKEj7uZjYEdp7zL6bb4S3VOjrrKWw6CQuQTVFrqOGNBI4VR4mFqjbKgENDgFxMQb7JzQ+ASyNhb/tixzLI28ELiOk9DD5+Bn38PBJEODJRy+RoqskuddnECZHScP0mHI/oBE6JzkbCJa5s4ugrYPD4jDvPGWM6t3YLkEXkAOBMXAeMYbguGLOBS1X1w8C4Z4EjMkzxgKqekjZnKXAlcDrQB3gbuERVZ2Z4/kOA64B9gU3AA8BFqrotbVzB5zSF0/giPadYgstYMkXKy3qXRa3EorPyA+BgizewDHJz0i+08+/vvvIJKmb8FMIlkKgjlUoQ0iRR/4HNZIlVYSvlhElm3IRDvHrlRmUTxpgupz0zyD8HDgUeAt4BBgI/BN4SkQNVdWFg7CfAJWmPX5JhzmnAicDNwIe4APxJETlCVV/2B4nIOGAmsAD4MTAE+CmwK007drTFnKZAtmUIkIvlArfaWEPm0M8c+4FysbwG0zy/Brks0njziNJABllVG2WXu7rpc5Zz8cPziIZCxJIpPrdrX97/8CPGhT/mltBNIAlIuAvrQmmPbW6r5utTp3LM549h+IjRWTfhsMDYGNOeAfKNwKmqGvMPiMgDwDxc8HxmYOwGVb0n12QiciBwCnCBqt7sHbsbmA9cCxweGH41LmM9UVW3eGOXALeJyFGqOqut5jSFVV9iEQiQtxZJcBnMEvvr9wN9yyp2Hn4f5GwZZHBBcvACvq7IzxCXl4T4xfR5VCTWUyVr+FR3Yr+P7uOO6OMIKcLNZIjjhImEI4S87hJvj/0VF7zRp1GW+IB9h9SP7/CbcBhj2kXWAFlEftWK+VRVf93CgbMzHFskIguAURnWEwHK/OAzg5OAOHB7YL5aEbkD+I2IDFLVlSLSCzgauD5trruBm4CvAbPacE5TQDXxhov0xHtvtVjavAVrpdMv0iuWMhHTvIYa5MYBclkgYO7qAfL0Ocu58eEXGCprWRTbiZNCr3N56d0IECGZ80K69Driy/QcLvx2w6YcB/QcwPSjsvdFNsaYTHJlkC9vxXwKtChAzkTce4wDcHW+QaOArUCJiKwE/gj8VlWDV7eMB97LEEC/hqtKGwesxG1oEgHeaLRw1ZiIzPXmacs501/zxmznPBXNnO/Sttb5JRYRBH+r6eIILhtlkNNLLCyD3Gn4NcjpAXCjDHI8CeVROrsmG3hsXs36FR+w4OGHmBG6F4BoaZwQubtLqMI2Sgmh/DJ5DrN1b3aNrMu6KYdliY0x+coVIA/fYatocBqwM43rjT/CZV/nAb2AbwC/wf3r993AuEHApxnmXOndDg6MCx5PH3twG89pCii9TRoUT4Bcm6HEotxKLDqd+ov0mskgd3bT5yznd/96gWHhtSzTfty87xr2m38VFckUl4YSuQNiGl97V0uUH8V+xDzdlc3Rvkz/wSHUxFKWITbGFEzWAFlVl+7IhYjISOBPwIvAPwLrODtt6F0i8iBwrojcpKrve8fLgboMU9cGzgdvs40NdgdqizkbUdXe2c5BfYbZsshZbAuWWHj/gxZLm7ca7yK9cEiIeoWV3ewivU4n2OYtKHi/s/xBlClDzMalrIsO5KXpf+aZyO0oEJU4obkuSxyGZjtPiETRUIhkqASSMS5LnM3rJQfW75Q3epD9E2mMKawO0QdZRAYC/wY2ACenlU5kcgNwMq5FnB8g1wClGcaWBc4Hb7ONrQncb4s5TQHVt3krjRDy/kctlgxycJtpv4OBtXnrfBpKLDp3BtmvIx4WWsfSVCU37b+BA+ZdAQh9E7X8LqzNb8rhSUmYcCTqWrl52zjLrkcS8dqv/ZQKvm41xcaYNpTrIr2p3qf/UFUN3M9JVe/OZwEiUgE8icuSHqqqq1rwsGXebd/AsZU0lDoE+cdWBMaRY+yKwP22mNMUUH2bt2i4PglVLNlXPwhuvP2wZZA7G7/NW6fNINfXEf+T/4X+D0UoCcUJzdH6zHBLdrFThXikO1FJEj7uFtj1SNvG2RjTbnJlkKfhSr/uB2KB+7lyAIrr3NAiIlIGPA7sAUwKlEs0Z1fvdm3g2FzgPBHpkXZR3UHerX/h33wgAewPTA+spQR30d29bTynKZDgTnSNSyyKI9iorW9R15BJLLeL9Dqd2njmGuRoWAgJpLTjZZCblEoEBXex+3AmPHE+vVMpLg3F86ojbtKfWE/lh187ib6D92gSEBtjzI6WK0A+ElwnhuD9QhGRMG6nuYOB41X1lQxjegF1qlqX9riLgRQwIzD8n7iNOc7Bberh74J3FvCSqq7wXk+1iMwATheRqwOB7+lAD9zGJW05pymQ2ngK9XaiKy8J1//vWxNPkkopoVDH3njBr5UOXmBoJRadT7ad9ESE0kiYmniyQ2WQg5t0xFMprjiykn16VlNZtQeVK1+EJ853A5MxXNjbsgxxXMNEIhFSoRLCGuftsZc16U/cd88hGGNMR5DrIr3nct0vgBuAr+AyyH1F5JuBc1tU9RHcls33ish9uF3seuB6Cu8PXKuqiwPre1VEHgKuE5FBuO4XZ+C2sT4z7bkvwW1r/ayI3I7b9e4nwJOqOqMt5zSFE7wYr1tJQw0yuACze2mHKLHPqsbLLGYMkIskC26aV5flIj1wdcg18eQOzyDnupju5/+aT+/kBqpkDXvLh3z1uftRhChxVHK/hRiUniG+knM55aSp7NOj2voTG2M6vPaMIMZ5t8fRdCvmpcAj3u1LuK2eB+CyxvOBM1X1rgxzTsX1YZ4K9MFtYX2sqr4UHKSqc0RkMm43vJuATcBtwEU7aE5TAMFSim4lYYIJ422xYgiQm+4C6AfLdYlUUWTBTfOyZZDBD5rjOzSDPH3Ocm6c/gJDw2v5JNmPmw7YwP7zriApEXrFY9we2pNDIwsAJUzahXVxhbUpiCmUCFoZQkoaBqhCMtqdkCa5NP4tnontRZWsYZn2Z3O0LxcMGQaBQNj6ExtjOqq8IwgRGYDL4PbBe2ctqKUX6anqxBaMWYzrVtEiqloL/Mz7aG7si8Ch7TGnKYz0rZqD/5EXQwa2NtDFwhf8vBiy4KZ52dq8QUMni0JkkLNlhek9zA3wMsQvP/wX/he+nSQhSsJxwnNSiGj9fwZHhOc1nVwVFifQBQkk6VcTK6lwiMToUuqGlxOVFDdyGid+4cuMHDmWzy2K89jD81gUqqxvx2bBsDGmWLT4f18RCeH6FJ9DhsA4IK8uFsa0VtMMckOEvLUIeiHXb3JS0rTEAixA7iyytXmDhqB5ezPIfos1v563vsVauARi21w8G4qwUyLGtaEUud6YSK8dBmBxAubGSfUMQzSEShhNJXk2tjfxORFeTezFf4YdxuZoX749cgL0LOOEfWHCiEoroTDGFKV8/vf9KfAd4B7gaVwg/HNgM3A+UI2VE5gdKFiDXBZpHCAXQyeLTG3eGmWQi+A1mOY17KSXPYPsd7pIzwLnygqv21rHumUfIH2HMXv6nQ1Z4ZDLCiMKCW9PIwVSCYSmwW/GgDh4PqbEF4D0jDAztB+fJPpTwVaq6Y6WdUeljr0++ISHd+nRJEtsJRTGmGKVT4B8BvCUqk4VkZ28Y2+q6iwR+QeuNnc/3LbQxrS54DbToZBQKqH6tlnFEFzWZCqxCGSQO1JnA9N6DRfpZc8g1yWSTbpHTBk/mOfnvMsu4bSNN8IlJOu2UqHQgxARElwX1pxZ4aAm3SXSLqZ7RCdwSnQ24m3SsXXwGSQGzyWxyx68/9ZnKLDN2yspnExxysG7Ip98wqRj+tF3X+tCYYzpHPIJkHcF/uZ97hfMRQFUdauI/B1XfnF94ZZnTHb1m4R4QaWI0K0kwpa6RFFsN10by12DXAxZcNO8hgxy0wC5d2o9+8oHbFpTzkXP1tErsb7+orbaN55jRtTPCicaZYXDQFggSuafkVxZ4ThhIuHc7dZkRLQ+U91jznswezUrwt2IhjcQSzbUS4dFiCeVwd1LQOPb/bUyxpiOIp8AuQbw/wXcgnvTrn/g/CqgqkDrMqZZ2Wp4XYDc8YPLbRnWX5Z2kZ4pfj3i69hXPqUiOQSoqi+TeOvVWdyy+gbiJWFK3k9wAPswqfQtFCFCEqEwWeEyXCv7WkqIkuSXyXP4xfe+R2V8Ve52a/4mHT2WgwgV5VFSfuNxT0qVivIoVAv06LGdXyljjOk48gmQlwK7AahqXEQ+BL4I/MM7PxlYXdjlGZOdnyXuFggwu5eEWUtxZF8ztXkLh4SSSIhYImUBcjsL1v8CedcGV1btQeXq2Tya+BGxkjDd/3sNfDgRPpqFAuOSbue5cu/5jom8kXM9Lc0Kh1LxJi3WgIbMdGkl36jrSeWwofWPz1krPHo0lJTQnSSTRg1g5sLVhERIqTJp1AC6k4SSEhgzJo+vrjHGdGz5BMizgCm4i/XABcZXishg3DXShwG/K+zyjMluW32A2fBj7H9eFCUWGWqQwQX8sUSqvgTD7HjBeuCaeIJ+Us1ukc9YkqzkkHGjeWlu49pgv4+wxGvorUoPwkRIoAJloq5iNwUs+i/gbbbRTHY419bMfla4jlIiJJi/7xUccNSJhLwg3W+x9r7sxFbv52it9gagLJWqD/pbpLwcTj4Zpk1jVFUVQw8dTnVNnIryqAuOly+HM86AMrsYzxjTeeQTIP8OeFpESr2tn6/BlVh8E0gCtwKXF3yFxmThl1h0CwSY3YpoJ7pMF+n59zcS77wZ5JoaePdd2LLFvS0/erQLwtpYSztErIsO5MJ/zqdPyu0mt5cs5qLIfcQJUxJOMHPuOK4Kv0UKIRJKEJrjNtOo/8dUIEL+fY3TM8QiUTQUIpklK1wSEW7+Ql+GjxjNAQO9bLBXFhFssTZv+UZ++9R79Rf/taof8aRJ7vahh+gei9Fd1ZVVlJS44Ng/b4wxnUSLA2RVXQmsDNxPAv/P+zBmh0u/SC/4+dZiCJAz1CBDQ8BcDGUieVGFmTPhoYcgFmuICEtKXIZy0qTc/ca2g98neFhoLUuS/Rizxwjmvf8Bu4TXsUz7NeoQURGr5U+hsRwZnYsCJSQblUJ8KfJ6Xi85+JIy3d9KOWGSrBh2PLuteALCUUjG4bibkV2PJJKWFQ5uvHFAjq4RftnEfsP6cOzeg7avH7EITJ4Mhx7a+I+bMWMsc2yM6ZTy2SjkV8B0VZ2f5fwY4ERVvbJQizMml0wXuTVkkDt+iUWmPsjB+52uzdvMmTBtGlRVsZVw47fpp01zYyZPLuxzbl7N+hUfsODhf/K/0L3ECRMNJ3n4g0P4feQlUghRcVlgv0NEFPhC5M0WP0VztcHBFmqPcTgnh18kFHEt1DYf9ktWdNuTyqo92G3g0Ma73/kXyWXICucb6BasH3F5Oey33/bPY4wxHVw+JRaXAx8CGQNkYC/gMsACZLND1GS4SK9bfQ1yxw8uc9UgQ3GUibRYTY3LHFdVsXB9HTMWriYcuNBrVFWVOz9hQpOMZJNSiIB1qz5puCBu4NDG91fPhsfPo0KFS0M1jbLA3wg/2+pkdT61wb9MnsNziYayiM3Rvkz69k31HSR69RxAr+DkPQc0BMYZ2MYbxhizYxRyH9syoOOn7Uyn0VBiEbxIzytP6ODZ13gyRTzpWmY1KbHwA+QO/hry8u67EIuxlTD/e3c1KVWSuNc/c+Fqhh46nO6xGCxY0ChD+X+vLuWyRxcQDYdQlKunjOUEr0fvW6/OYuS8GyglTIQkL/c4nP22PEtPxLtAThEgDE0uiGtuN7km94FUtDshTSL7fAN9+z6SEs3YR/hHR+7OPj2rqazag0NWhHgirSyicuAQYCjGGGM6rpwBsoj0AnoHDu0kIpn+Ze8LnAYsK9zSjMktU4lFdz9AruvYf6sFg9/0DLJfYtGpAuQtW0CV9VtjTXrphkSorom7C7+2bKnPGL/1yQau+vdC+rGRKnUZ2Fce+RNTSu5EJcS42LZGQezBW2c02xnClysLnKkUQo6+gvDg8fWlDzLxovra4Kx9hIETBra+LMIYY0z7aS6DfAHwK+9zBW72PjIR4MKCrMqYFqjvg9xoq+biKLEItnDLdpFepyqx6NEDRFj62dYmp0pTNfRJrIF4LbOWb+WX/3uYwbqaJcl+TAnN45ro7a5WmARhFEloy9qkZcgKJ6PdCdM4C5ypQ0R6KUSTsoe0UohcpQ9WFmGMMcWnuQD5We9WcIHyw8A7aWMUt7PeK6o6u6CrMyaHnBfpdfDsa64McrG8hryMHk2thFm4ZB1ImO5SRy+20J+NHBaaR+idEKltSaqHbuCZkjdQIBJJEKLljS1y7SYXJcmNnMaJX/gyI0eObZIFztQhwkohjDGm68oZIKvqc8BzACIyDPirqr66IxZmTHP8ALJ7acOPsR9cdvQMcotKLDr4a8hLYhOzBg5g51ffo1ufJEdE3kERJBVHkgqbFMZFmVL6Ss5pcrVJe6fvF9h7/X9JECFCgkuT5/B82gVy3x45AYJbKRegQ4QxxpjOJ58+yGe15UKMyVfmPsheiUVHr0HOVWJRpBnkYAcJoKGbxMoXST1xPkdGUkT3rSH8bhzZoggCKIQFxkVheNN/jprLCt+gp3LgIZPYd9w4DkrrYnHoihD/TssK5wp8rRTCGGOML68uFiLSE1eX/HlgADBVVV8WkUrg+8CDqvpe4ZdpTFP1G21k2Emvo3exCAa/pZFQo3M7sgY5Vwu1lu48R+9hvD7rX+w15zJKCVNGHQL0IkTY2245BJSHgN0iMDQMa1MQUygR6B+CiIuC0wPilIQJR6IQLkGTMS6NNa0VPvfQI6n01l45cCiV3q5ydoGcMcaY1spno5B+wIvArrh+yLvitRVV1XUicgau48WPC79MYxpT1YaL9DK1eevg5QnBHsiSVmRbvoO6WEyfs5yLps8jEhKS6rVQ83Zm83ee81uXHT5+DM+/taD+fv3OcxJCE3Xsm0oRFk17hszbLWtEkMENf9SowhYtI0KKR3QCX4/MJhVyLdTCx90Cux4JG5ciWWqFLStsjDGm0PLJIF8FDAQOAj4B1qSdfxSYVKB1GZNTXSJFyovHGl2k5wWXsUSKRDJFJBzK9PB2l+kCQ9+OKLFYs6mWC//5DomUUucdu/jheRw+OEWoeikLHgnsPBdKMGPOeC4Pv4kiREIJQnOo7yIhuCqJbDKVSUTCEUKRUhLxOq5OfIMPZHeWpCr58ZTDCI2IEmqD3eSMMcaYlsonQP4y8GdVnSMiO2U4/zFwZksnE5EDvPFHAsOAz4DZwKWq+mHa2EOA64B9gU3AA8BFqrotbVwpbie/04E+wNvAJao6M8Pzt9ucZvsFyw+CNcjBC/a2xZP06qABcqbyEJ9/LNgKLlcpRD7WrfqENUvf5y9vJ0ik1PUY9soVjtK36XPrVFIKl0qs0c5zx0VeyzlvPtstX6bncOG3v0dlfBWR3sP4LhVNX5vtJmeMMaYd5RMgV+JKK7JJ4XbTa6mfA4cCD+Faxw0Efgi8JSIHqupCABEZB8wEFuDKN4YAP8WVeByXNuc04ERcr+YPcQH4kyJyhKq+7A/qAHOa7RSsMQ4GyMGMbE0sSa+y6A5dV0vVl1i0IIM8fc5yLn54HtFQqL6swC+FyCR9+2W/VtjfeW4oIX5HgtOiu7F/aBEKhEkhgKQy7zyXLtvFc3GilHo5aX+75cerfsbvl1bVl2f8eMphjVqo9QcLeI0xxnQo+QTIq4Ddcpwfjyu9aKkbgVNVNeYfEJEHgHm44PlM7/DVuOzyRFXd4o1bAtwmIkep6izv2IHAKcAFqnqzd+xuYD5wLXB44LnbbU5TGDWxhi4VmfogQ8euQ66JN59B3lKX4N2V1fziX/OIJVPUejW9N0x/nqqtfRk+YnSjANi/WG7snF9RTogoSdb1GU1l9QJUlXGaahTUfi78fovX29zOc1dyLscc/w36J1c16WLxtYFDmVigDLgxxhizI+QTIP8HOFtE/gDEgidE5CBgKtl32Wsi06YiqrpIRBYAo7x5ewFHA9f7QafnbuAm4GuAH3ieBMSB2wPz1YrIHcBvRGSQqq7sAHOaAtjWqMQi0Ac52vD51g7c6q0m5oLdRDLFms21jYLG15esd6UPqTWcccsGYvSuL4XYSxZzUfg+kjNClMxIsGancfTbMNcFsJpg/7TMbuVGt69Ppp3nMvUUTr8fj3QnKhl2not9i2fijbtJXDBid/r33KvhuQc2bLJhZRHGGGOKST4B8hXAV4C3gMdwSaUzROTbwAnAClxWtdXEXc4/AFfnCzDWW+MbwXGqGhORubistW888F5agArwGi40GAes7ABzpr/mjdnOeSqaOd8lBQPk8miWEosO1uotWEc8d9kG+rGR7msXccJ1n3LRMSP5UlWcddGBrHnxLp4vvZ0EYUpI8GpqDw4OvQcoERpngfuvdz9y9YeaCYJzSc8KX6+n8sOvnUTfwXu0aOc5C4CNMcZ0FvlsFLJKRD4H/BH4Fu6/4tNxgfJ/gO+p6vrtXM9pwM7AJd79Qd7tygxjVwIHB+4PAj7NMg5gcAeZ0xSAf5FbaSREONQQAZZEQkTDQjypHarEwm+bNjS0lo/jO3Ew83i+9A7iXt/g0H9BIyXslIxxXVgJBVqmHR5ekHXe5rLAmcb7O8+tGHY8u614AsJRSMZ5e+yvuOCNPo1qhfvuGah1tp3njDHGdBF5bRSiqsuA472Sgj1xQfKHBQiMEZGRwJ9wvZb/4R32L6Kvy/CQ2sB5f2y2ccG52nvORlS1d7ZzUJ9htixymky76PnKo2HiyUSjOuXWyqd7RLaNNNZFB/Lyw3/hf6HbSBEiGo0TRgmLNv7BSLofq/QAtzVZ4DhRIiT4V3ICJ4ZfdO3a0nae2y2tfvmAngOYflTLX6+VTRhjjOms8gqQfaq6CXg9eExEDgWuVNW8eyGLyEDg38AG4GRV9XcYqPFuSzM8rCxw3h+bbVxwrvae0xRApk1CfN1KImyqTbC1bvsyyNPnLOfi6fOIhIVESnN2j0jfWOOm/T5j/3lXoAh9kzGuDSmhFga56RfEZSqb8LPAD6cmMCXUEABfpudw9hnfQtcvRfoO46q/f8gtdSdl3XkumBUGC3qNMcYYaGGA7PU93g1Yn6FH8edwfYInkW3rrNxzVwBP4rKkh6rqqsBpv2RhUJMHumMr0sZmG0dgbHvPaQqgJkebtG6l27/d9JrNtVw0fR51iRR4ieiLps9j5KCe1MRSjbLE61d8wMKHH2Bm6D4UIRqKE3rLZX1bUxssEkVDIZKhEsIaR/b5Brx9f30pxObDfsmKbntSWbUHZStCHB0IzH885TD23G0I7DYCgKtPKOdiqxU2xhhj8pIzQBaRMK7s4Rz8C+FFXgW+iisd+CvwdVxgfC/wm3yeXETKgMeBPYBJqpred2o+LjzZH5geeFwJ7gK5ewNj5wLniUiPtIvqDvJu/Qv/2ntOUwC5Siz8Y9tTYrHss20k0zbSWJvozZm/f4Ldo5+xQnvz55HzGf3RHfROpbg4lGq29jd4PiVhQuGIC4ITNUhIIFIOyTgcdzOy65H1F8TRcwBMvKi+FKJXzwH08uY5YSBMGDEla1nECfsOsVphY4wxJk/NZZB/BJwLLAdeAXYHPocLmocAB+LqhX+tqh/l88Re8P0A7gK241X1lfQxqlotIjOA00Xk6kCQejrQA7fJiO+fuI05zsFrN+ftgncW8JKqruggc5oC2JZjJzq/1VurL9LbvJolc1/kVJ7jotL7vPKFBC+m9mJi6B0EJSwpZJEbHoJmM8RxwoRDETTsssLh426BYBAM9QFw+vbK9Z9n2V2uubIIK5swxhhj8tNcgHw6buOOg/3tkkXkT8D3cJtiTAjuJpenG3Bt4x4H+orINwPntqjqI97nl+C2oH5WRG7HBeY/AZ5U1Rn+A1T1VRF5CLhORAYBHwFn4LaxPjPtudttTlMYNfU1yNl3omtxgBy4UI2PnyH52Hl8IQEnRGsbbbd8dPitFq8v4/bK57rtlXMGwcYYY4xpd80FyHsAl/vBsecvuAD52u0IjsGVHoDbhjl9K+alwCMAqjpHRCbjeizfBGwCbgMuyjDnVODX3m0f3BbWx6rqS8FBHWBOs50aSiya/gh392uQvSA6vbtEo62YV8+Gx8+DUBjidaQ0SRilRwsuqMvUYi0Z7U6YJG+PvaxJy7Tg9srGGGOM6biaC5C747aYDvLvz9ueJ1bViXmMfRE4tAXjaoGfeR8ddk6z/epLLDK2eWsosQh2l1icrOSsgYv55tob6UaIKHFUFKGh53Aox3M2t93yjZzGiV/4MiNHjs27ZZoxxhhjOo6WdLHQLPfjBV6LMTkFM8Hb0kssAmUS3UrC9GMjO61fy4KH5zAjdC8KRMMJQmtzt1vLlBVOlXQnrClkn1Mab7cc/xbPxBpvt/ztkRPAC4at9tcYY4wpTi0JkI/1+hT7uuGC5JNFZFzaWFXVmwq1OGN80+cs5+KH5xENhYinUuzTu459ZTGVVLgWaI+fB+ESSNZxZvk+XFb6BqxSwiHNq7tExu2WT7Ltlo0xxpiuRFTTE8SBkyL59jVWVW36nrdpNRHZWFFRUbFx48b2Xkq7WbO5lgm/nUVFcgNVsoa9ZDEXRe8jQZhyiRORFGjLflTTA+KYhknREBD/KnkOL+ne7BppqB3OtjmIvzYrozDGGGM6ht69e1NdXV3d3E7FzWkug3zk9kxuTC7pwWWmi+k+Xfwed8xPcpw+w9Wld6JAKYnGWeG0v/FybcKRlDCJwFbMv0yew3OJxmUS039wSOPNQHKwMgpjjDGm88kZIKvqcztqIaZrSd+a+fDxY3j+rQXufnInfjLwbb609jZ6IdxMAolmD3pzBcT++XikO1FJEjnuFjYOOKS+i8UhK0I8kVYmMXpQRdu8aGOMMcYUhZwlFqb9dboSC29r5j/d809+GrqXOGFKSDA7NYrDQgvcJhzk3pUuXUzDRCIRQpFSNBnj/tghfFVe9Db48OqIT2uoI05nZRLGGGNM57CjSiyMyUuTYDNtEw597P/RMwWXhuoabcJxVPidnPNm6i6xhTIipNwmHN92m3BI72GULopzdCA7/eMph9F3z+x1xFYmYYwxxpggC5BNs5rNsHpB8L+XRbnmyffqA9M/jFvGuHevd8FtKg4oAkSh2a2ZM3WXiIYjSKSURLyOqxPf4APZPeMmHCfsCxNGTLGssDHGGGNaxUosOrj2LrFIb6929ZSxnDAi2jgr/Ph5JAlDfBsCpBDCpHL2G06XvglHgsYX083f9woOOOrE+uddQ4UFwMYYY4xpxEosTEE1yhJTDRuXsi46kF9MX0BFYn19l4c3Hr6Fr5ZMAwRJ+llhdT9IXoQbbrK3jJMpS+xfPCf7fKN+E46wxptcTHfAQG+LZq+GuD9YYGyMMcaYNmEZ5A6uYBnkYC1wzwGsW/VJffD5/IpQfUeJPfVDLorcB6EImozxemJ3Dgi9D+AuniN3x4ig5noON7l4Lm2NxhhjjDH5sAxyF9TSWuD0IHjnbe/R44Vf12dnPx58HDsvfYRywkRJMDi1G8+EFgEQkRSSAlJ1ABwSXphzTblarKXvSndp8mxeYR+Gh7NcPNdzgAXGxhhjjGl3lkHu4ERkY4+evSr+8ORcbn/qlUadGQ4fnKrPAleunu1qgb0g+P2+RzF89dOkEMqI57wALpfmLp4LZoXLiLk1l5QT0QRvjL2MC97o02jNE0ZUWu2wMcYYY9pEoTLIFiB3cCKyMVpaVvGLH3+bi6L3eb19E/wvtS9fDL1JihBhEoRFCWWp/W1OroC5uTKJ9KzwRceM5EtV8fostvUYNsYYY8yOYgFyFyEiGytKpWLDz3vmtXlGLs1lhYM9hh/RCZxSMhsJl0Ayzutjf2VZYWOMMcZ0SFaD3KVos8FxPkHv9NQETgi9SIIIERKsGHY8u654nKREIRlr0mNYAm3dDug5gOlHNc0KW2BsjDHGmM7CAuQilWkjjeAFcelB8HXJU1kUbgh6twbql3cbOBQ2rybiBcHfzdRjOHDxnO08Z4wxxpjOzALkIqJAKtqdkCb5ePBxDF76aH0A/HjVz/j90qpGpQ/BIPh73fs3CXor/d7C0KiDhPUYNsYYY0xXZjXIHZyIbKwok4oNl/RDjr4SBo/P2Mu4cuBQuyDOGGOMMV2aXaTXRYjIxopePSo2Lv/QegQbY4wxxuRQqAA5VKD1tIqIDBKR34rIMyKyWURURCZmGLfEO5f+8dsMY3uLyK0islZEtorILBEZl+X5vyIic0SkVkQ+EZHLRKRJ2UlbzJkXCVtwbIwxxhizg7R3DfKewM+BD4F3gENyjH0TuDnt2PzgHREJAf8GxgK/Az4Dvg88KyL7qepHgbHHAI8As4AfeY/5FVDp3W+zOY0xxhhjTMfV3gHym0Clqn4mIl8FHs4xdrmq3tPMfCfhguwpqvoIgIg8CHwAXAZMDYz9HfAW8AVVTXpjNwEXicjvVXVRG85pjDHGGGM6qHYtsVDVzar6WUvHi0ipiHTLMeQkYAXwaOA51gIPAl8Vkag3z2hgNPA3P5D1/Bn3NTmxjec0xhhjjDEdVLsGyHn6PLAV2CoiH4nIuRnGjAfe1KZXHr4G9AR2D4wDeCM4SFVXAMsD59tqznoisjHXB1CR6XHGGGOMMaZtFEuA/A6unOFE4NvAOuBvIvKLtHGDgJUZHu8fGxwYR46xgwP322JOY4wxxhjTQbV3DXKLqOpXgvdF5O/Ai8AvReQvqlrtnSoH6jJMURs4H7zNNjZYxtEWc9Zrrg2JZZGNMcYYY3asYskgN+LV+N6MCzoPDpyqAUozPKQscD54m21sTeB+W8xpjDHGGGM6qKLIIGexzLvtGzi2koZShyD/2IrAOP94eknEIGB2G8+Zj17V1dX07t27lQ83xhhjjOkaqqurAXpt7zzFHCDv6t2uDRybCxwiIpJ2Ud1BwBZcv2V/HMD+wBx/kIgMBoYEzrfVnPkQgGrvO14E/HKQYlkvQA/vdsv/b+/O4+So6r2Pf37d0zM92WYSksCwhiQQ0CCrCfuigsoVxCVRLoYlwSCbIuDDA3g1IqIoKlwC94rsucgSvLIoyANqZEuIIAGCGnYCZCAEmMkymbV/zx/VHSqdnp7unt5m8n2/XvPq6arTp06drqr+9elT51S0FLlTHZfHQKtn1XHpqY5LT3VceoO9jkcAif5usOoDZDMbBbS4eyK0LA58B1gDLAwlv5NgWLbPE0zYgZmNBqYBd7t7F4C7P29m/wJmm9l1oWHZTiWo1N+WOM98/DWZ/6EFvr6skn2m++xbXU3MbAGojktpoNUxDLx6Vh2Xnuq49FTHpac6zk3FA2Qz+27y312TjzPM7ECCoHgucDRwoZndCbwGbAGcAOwMnOru4W9AdwKLgJvN7DKC0S5OI+hrPSdt098B7gEeMLPbgcnAGQTjGL9Q4jxFREREpEpVPEAGfpj2fGby8XVgLvAc8C9gBjCGYJSIvwPnuPvvwy909x4zOxL4GfBNgpElFgPHu/tLaWl/b2ZfJBg+7kqCrhoXp5enFHmKiIiISPWqeIDs7tbH+qeAo/LI7wPg5ORfX2nvItltotx5ioiIiEh1GpDDvImIiIiIlIptOoOySOEG2s0KA5HquDxUz6WnOi491XHpqY5LrxJ1rBZkEREREZEQBcgiIiIiIiHqYiEiIiIiEqIWZBERERGREAXIIiIiIiIhCpBFREREREIUIIuIiIiIhChAFhEREREJUYAsIiIiIhKiAFlEREREJEQBsoiIiIhIiAJkEREREZGQmkoXQLIzs26CLzKrK10WERERkSo3Aki4e79iXE01XeXMLAFYQ0NDpYsiIiIiUtVaW1sB3N371UtCLcjVb3VDQ0NDS0tLpcshIiIiUtUaGxtpbW3t96/u6oMsIiIiIhKiAFlEREREJEQBsoiIiIhIiAJkEREREZEQBcgiIiIiIiEVG8XCzD4OnAgcBuwAvAc8DnzX3V8KpVsAHJIhi9vd/atpedYBFwEzgJHAM8CF7v6nDNvfH/gpsBfBGMO3A+e7e1up8yy2RCJBa2sra9euJZFIlHJTUiFmRl1dHSNGjKC+vr7SxRERERnUKjnM23nAAcB84FlgK+AM4Gkzm+Lu/wylXQ5cmPb61zLkeSPwJeBy4CWCAPx+MzvE3RemEpnZHsCfgOeBs4FtgXOB8cBRZcizqFasWMGaNWuora2lpkYj9w1GPT09fPDBB7z//vtsueWWjBo1qtJFEhERGbQqNlFIsrX1SXfvDC3bCXgOuM3dT0wuWwA0uvsefeQ3BXgC+La7X55cFgeWAivc/eBQ2vuAjwG7uPva5LKTgV8Dn3T3P5cqz3yZWUu2cZDXrVvH8uXLGT16NKNHj8bMCtmMDAA9PT00NzezZs0axo0bp5ZkERGpGq1vrWTZVTfQ09xMtKmJSaefRMM2Y8tejuQ4yK3u3tiffCrWB9ndHw8Hx8llLxK0wO6ant7MasxsWJYsvwx0AdeG8msHrgMONLOmZD4jgMOBm1OBbNLNwFpgeonzLKrVq1cTiUTYYostFBwPctFolKamJsyMNWvWVLo4IiIieCLBwuNOo27cdky+bA5Tb7yCyZfNoW7cdiw87jR8gHb9rKqb9CyI8LYEVqWt2hVYB6wxsxVmdoGZpZd9T+BfaQEqwGLAgD2Sz3cj6FryZDhRMlhfksynlHluxMxasv0BWeeY7u7uJhaLEYlU1VspJRKNRqmrq6O9vb3SRREREWHRjDPYff71xLs7GdLVTgQY0tVOvLuT3edfz6IZZ1S6iAWptqjqOGAb4I7QspeBHwFfJej/+2zy+dVpr20CmjPkmVq2dSgdWdJuHXpeijyLKpFIEI1GS5W9VKFIJEKlukaJiIiktL61kj3vuI4hXR0Z1w/p6mDPO66jtfndMpes/6omQDazXYCrgEeBeanl7j7L3S9y99+5+03u/hmCG/tmm9mkUBb1QKZ3qD20PvzYW9pwx85S5LkRd2/M9ge09vZaERERkUpZdtUNJDb5QX9jCYuw7Mrry1Si4qmKANnMtgL+AHwATHP3vjqs/Jygi8NhoWXrgboMaeOh9eHH3tKuDz0vRZ4iIiIiA15PczPxruxd/uq6OuhpzvQDe3WreIBsZg3A/QR9bT/t7m/n8LI3ko/hsa6a+bCrQ1hq2YpQOrKkXRF6Xoo8RURERAa8aFMT7bF41jQdsTqiTZnCo+pW0QA5OWTavcDOwOfcfVmOLx2ffAx3alkC7JJhpIupycdnko9LgW5gn7Sy1BLcdLekxHlKlViwYAFmxoIFC/pMe+ihh3LooYeWtDwnnngi48aNK+k2REREimXS6ScR6eNH/4gnmHTmzDKVqHgqFiCbWZRgprn9CLpVLMqQZkRyJrv0110AJICHQqvuBGLAyaG0dcBJwGPuvgLA3VuTr5uRFvjOAIYR9G8uZZ4iIiIiA17DNmN5evos2mKZephCW6yOp6fPoqFpTJlL1n+VnHbt58DRBC3Io8zsa6F1a939LoIpm39jZrcSzGI3jGBM4X2AS9391dQL3P0JM5sP/DQ5PvHLwAkE01ifmLbtCwmmtV5gZtcSzHp3DnC/uz9UyjwHita2Lu5b2sy7azoYM7yOIyc30TAkVuliFdXBBx/M+vXrqa2trXRRREREBqR9581lEbDnHdeRsAh1XR10xOqIeIJnps1k33lzK13EglQyQN4j+XgUm07F/DpwV/LxMYKpnrckaDVeCpzo7jdlyPN44IfJx5EEQ8Id6e6PhRO5+9/N7FPApcAvgdUEM96dX6Y8q5a784sHX+Cah18hEjHaO3uI10aZc8/zzD54PGcfvnNFJyRZt24dQ4cOLUpekUiEeDx73ykRERHpnUUi7HfL1bT+dM7GM+mdOZP9BmDLcUolZ9I71N2tl79xyTSvuvs0dx/n7vXuPtTdp/YSHOPu7e7+HXdvcve4u0/prfXW3R919wOS+W7p7t9093XlyLOa/eLBF7j2kVfp6E6wvrMHB9Z39tDRneDaR17lFw++ULayzJkzBzNj2bJlfOUrX6GhoYHPfe5zANxwww3stdde1NfXM3r0aE444QTeeeedjV7/5JNP8ulPf5rRo0dTX1/PjjvuyMyZH/aD6q0P8jXXXMOECROor69nypQpPPLII5uU7cYbb8TMeO211zZaninPRx55hGnTprH99ttTV1fHdtttx7e//W3Wr9fgJiIiMjg0bDOWKZecx343XM6US84bkN0qwirZgixVprWti2sefoWO7swd7td39XDNw69w8kHjaagvX3eLL37xi+y6665ceumlxGIxfvCDH3DRRRdx7LHHMnv2bJqbm7niiiv429/+xlNPPUV9fT0rV67kiCOOYMcdd+S73/0uQ4cO5dVXX+V3v/td1m1dd911nHLKKRx44IGcddZZvPLKKxx99NGMGjWK7bbbrqDyz58/n7a2Nk499VS22GILFi9ezJVXXsmbb77J/Pnqni4iIlJtFCDLBvctbSYSyd59IhIx7nuumWOnbF+mUsHee+/NzTffDMBrr73GxIkT+elPf8o555yzIc1nP/tZ9t9/f2666Sa+8Y1v8Pjjj/PBBx+wbNkyxoz58FvsJZdc0ut2urq6uOCCC9h7773585//TCwWfAn4yEc+wuzZswsOkC+99FLq6z+cK2b27NlMnDiRCy64gOXLl7P99uWrSxEREelbxcdBlurx7poO2jt7sqZp7+zh3TWZp5QslW984xsb/v/d736Hu/PFL36RVatWbfibOHEiTU1NG7o2NDY2bkifSPQ170zgySefZOXKlZx66qkbgmMIhl9raGgouPzh4HjdunWsWrWK/fffH3fn6aefLjhfERERKQ0FyLLBmOF1xGujWdPEa6OMGZ55OJdS2XHHHTf8/+KLL5JIJBg/fjxjxozZ6G/FihW8+24wNPYhhxzCl770JU455RTGjBnDtGnTmDdvHp2dnb1u5/XXXwdgp5122mh5LBZj/PjxmV6Sk+XLl3PiiScyatQohg0bxpgxYzjkkEMAaG3VTOIiIiLVRl0sZIMjJzcx557ns6ZJJJwjdyvvjDjhFthEIkE0GuX+++/POJrGyJEjATAz7rzzTp544gnuvfdeHnjgAY4//nguu+wyHnvsMYYNS5/7JT+9jeTR09OzyfPDDz+c999/n/POO49ddtmFoUOH8tZbb3HiiSfm3LotIiIi5aMAWTZoGBJj9sHjufaRV1nftWlXi/pYlJMP2rGsN+ilmzBhAj09Pey00045zTo3depUpk6dysUXX8wdd9zBV77yFW6//XZmzZq1SdoddtgBCFqpDz744A3Lu7q6ePXVV9l99903LEsF4i0tLRvlkWqFTnnuued44YUXuOmmmzj++OM3LH/wwQf7LLuIiIhUhrpYyEbOPnxnTj5oR+pqItTXRjGgvjZKXU2Ekw/akbMP37mi5fvCF75AJBLhoosu2mRdIpHg/fffB+CDDz7A3Tdav8ceewDQ3t6eMe999tmHMWPG8N///d90dXVtWH7jjTduEghPmDABgIcffnjDsp6eHq655pqN0kWjQZeVcFncnSuuuCLbboqIiEgFqQVZNmJmnHPEJE4+cPzGM+nt1lTRluOUiRMnctFFF/Hd736Xl19+maOOOoqhQ4fy8ssv89vf/pYLL7yQk08+mZtuuomrr76aY445hgkTJrBu3TquvfZaRowYwZFHHpkx71gsxsUXX8wpp5zCJz7xCaZPn86rr77KDTfcsEkf5I9+9KPsu+++nH/++bz//vuMGjWK2267je7u7o3S7bLLLkyYMIFzzz2Xt956ixEjRvDb3/6WDz74oGR1JCIiIv2jAFkyahgSK+tQbvm48MIL2Wmnnbj88sv5/ve/TyQSYfvtt+eYY47h8MMPB4Kb9BYvXsztt9/OO++8Q0NDA1OmTGHevHkb3fSXbvbs2fT09PCzn/2M73znO+y2227cc889/Md//McmaW+55RZOOeUUfvKTn9DY2MisWbM47LDDNpQBgqD73nvv5Zvf/CY//vGPicfjfOELX+CMM87YqMuGiIiIVA9L/xlaqouZtTQ0NDSk/8Sfkurzmuo/K4Of3nMREZHMGhsbaW1tbXX3xv7koz7IIiIiIiIhCpBFREREREIUIIuIiIiIhChAFhEREREJUYAsIiIiIhKiAHmAi0Qim0xvLINbIpHodaprERER6T8FyANcTU0NXV1dJBKJShdFyqCnp4f29nbi8XiliyIiIjJoKUAe4EaMGEEikeC9997bZGplGVx6enpobm4GYPjw4RUujYiIyOClmfQGuKFDhzJ8+HBWrVrF6tWrqanRWzoYJRIJOjo6cHe23HJL6uvrK10kERGRQUvR1CCw9dZb09raytq1a9XVYpCKRqOMGjWK4cOHKzgWEREpMQXIg0AkEmHkyJGMHDmy0kURERERGfDUB1lEREREJEQBsoiIiIhIiAJkEREREZEQBcgiIiIiIiEKkEVEREREQhQgi4iIiIiEKEAWEREREQlRgCwiIiIiEqIAWUREREQkRAGyiIiIiEiIAmQRERERkRAFyCIiIiIiIQqQRURERERCFCCLiIiIiIQoQBYRERERCVGALCIiIiISogBZRERERCSkYgGymX3czK4ys3+Y2TozW25mt5nZxAxp9zezR82szczeNrMrzGxIhnR1Znapma0ws/VmtsjMPtnL9iuWp4iIiIhUr0q2IJ8HfBF4CPgWcA1wKPC0me2aSmRmewB/AuLA2cC1wCnA7RnyvBH4NvA/yTwTwP1mtl84URXkKSIiIiJVyty9Mhs22x940t07Q8t2Ap4DbnP3E5PL7gM+Buzi7muTy04Gfg180t3/nFw2BXgC+La7X55cFgeWAivc/eDQdiqWZwH11NLQ0NDQ0tJSyMtFRERENhuNjY20tra2untjf/KpWAuyuz8eDo6Ty14Engd2BTCzEcDhwM2poDPpZmAtMD207MtAF0HLbSq/duA64EAza6qSPEVERESkitVUugBhZmbAlsAzyUW7EZTxyXA6d+80syXAnqHFewL/SgtQARYDBuwBNFdBnun73NLbuqSGPtaLiIiISBFV2ygWxwHbAHcknzclH5szpG0Gtg49b8qSjlDaSucpIiIiIlWsalqQzWwX4CrgUWBecnF98rEjw0vaQ+tTaXtLF86r0nlupK8+MskWZrUii4iIiJRJVbQgm9lWwB+AD4Bp7p5IrlqffKzL8LJ4aH0qbW/pwnlVOk8RERERqWIVb0E2swbgfoJW0gPc/e3Q6lSXhaZNXhgsW5GWtrd0hNJWOk8RERERqWIVbUFODpl2L7Az8Dl3X5aWZCnQDeyT9rpaghvkloQWLwF2MbNhaXlMTT6mbvyrdJ4iIiIiUsUqOZNelGASjf0IulUsSk/j7q0EE4nMSAtSZwDDgPmhZXcCMeDk0DbqgJOAx9x9RZXkKSIiIiJVrJJdLH4OHE3QgjzKzL4WWrfW3e9K/n8h8DiwwMyuBbYFzgHud/eHUi9w9yfMbD7w0+T4xC8DJwA7ACembbtieYqIiIhIdavkTHoLgEN6Wf26u48LpT0QuBTYC1hN0PJ8vruvS8szDvwQ+BowEngWuCBTgFrJPPOhmfREREREclOsmfQqFiBLbhQgi4iIiORmwE81LSIiIiJSjRQgi4iIiIiEKEAWEREREQlRgCwiIiIiEqIAWUREREQkRAGyiIiIiEiIAmQRERERkRAFyCIiIiIiIQqQRURERERCFCCLiIiIiIQoQBYRERERCVGALCIiIiISogBZRERERCREAbKIiIiISIgCZBERERGREAXIIiIiIiIhCpBFREREREIUIIuIiIiIhChAFhEREREJUYAsIiIiIhKiAFlEREREJEQBsoiIiIhIiAJkEREREZEQBcgiIiIiIiE1lS6AiMjmovWtlSy76gZ6mpuJNjUx6fSTaNhmbKWLJSIiaczdK10GycLMWhoaGhpaWloqXRQRKZAnEiyacQZ73nEdCYsQ72qnPRYn4gmenj6LfefNxSL6QU9EpL8aGxtpbW1tdffG/uSjK7KISIktmnEGu8+/nnh3J0O62okAQ7raiXd3svv861k044xKF1FERELUglzl1IIsMrC1vrWSunHbEe/u7DVNe00tHcvfpKFpTBlLJiIy+KgFWURkAFh21Q0kLPulNmERll15fZlKJCIifVGALCJSQj3NzcS72rOmqevqoKe5uUwlEhGRvihAFhEpoWhTE+2xeNY0HbE6ok1NZSqRiIj0RQGyiEgJTTr9JCKeyJom4gkmnTmzTCUSEZG+KEAWESmhhm3G8vT0WbTF6jKub4vV8fT0WbpBT0SkiihAFhEpsX3nzeWZaTNpr6mlLRanB6MtFqe9ppZnps1k33lzK11EEREJ0TBvVU7DvIkMHpvMpHfmTLUci4gUUbGGeVOAXOUUIIuIiIjkRuMgi4iIiIiUgAJkEREREZEQBcgiIiIiIiEVDZDNrMnMfmJmfzGzNWbmZnZohnSvJdel//0kQ9pGM7vGzN41s3Vm9mcz26OX7R9tZn83s3YzW25m3zezmnLkKSIiIiLVKe/AzcwmAhPd/Y+hZVOB7wKjgJvc/Zocs5sEnAe8BDwL7J8l7VPA5WnLlqaVLQL8AdgNuAx4DzgNWGBme7v7y6G0nwXuAv4MnJl8zfeA0cnnJctTRERERKpX3qNYmNlvgVHufljy+WjgBWAYsD75+CV3vyuHvIYDte7+npkdA/wOOMzdF6Slew1Y4u7H9JHfdOB24Aup7ZvZmGT57nX340NpnwfagSnu3pNcdjFwPrCLu79YqjzzoVEsRERERHJTyVEs9gEeCj0/FhgB7AWMAZ4AvpVLRu6+xt3fy3XDZlZnZkOyJPkysAK4O7SNd4E7gGPMLJbM5yPAR4BfpQLZpKsJ6uRLJc5TRERERKpUIQHyGIKAMeUzwGPuvtTdO4HbCALFYjsCWAesM7OXzWx2hjR7Ak/5ps3ii4HhwMRQOoAnw4ncfQXwZmh9qfLcwMxasv0BDZleJyIiIiKlUUiAvA5oBDCzKHAg8HBo/XqCFuViehb4PkEr7NeBVcCvzOz/pqVrApozvD61bOtQOrKk3Tr0vBR5ioiIiEiVKmR0heeB483sZmAaQZ/jB0PrdwDeLULZNnD3o8PPzewG4FHgP8zsv9y9NbmqHujIkEV7aH34sbe04W4cpchzg776yKgVWURERKS8CmlB/hnB6AwrgauAp4FHQuuPAP7e/6L1LtnH93KCoHO/0Kr1QF2Gl8RD68OPvaVdH3peijxFREREpErlHSC7+x+ATxAEqD8Ajkj1zzWzLQj6295YvCL26o3k46jQsmY+7OoQllq2IpSOLGnDfaxLkaeIiIiIVKmCJrBw94fZuN9xavl7wBf7W6gcjU8+hrtzLAH2NzNLu6luKrCWYLzlVDoIRuTY0NptZlsD24bWlypPEREREalSVT/VtJmNSk7WEV4WB74DrAEWhlbdSXAz3OdDaUcT9JW+2927ANz9eeBfwOzkjYYppwIJ4LclzlNEREREqlSfLchmdn0B+bq7z8oloZl9N/nvrsnHGWZ2INDi7nOBo4ELzexO4DVgC+AEYGfgVHdfG8ruTmARcLOZXUYw2sVpBF8E5qRt+jvAPcADZnY7MBk4g2Ac4xdKnKeIiIiIVKk+Z9Izs0QB+bq7R/tOBmbWWwFed/dxZrY3QSC6J8EYzB0EXRguc/ffZ8hvJMGNhMcQjCyxGDjH3Te5cTA5e9/3CYLzd4HrgR+6e3ep88yVZtIb/FrfWsmyq26gp7mZaFMTk04/iYZtxla6WCIiIgNOsWbSy3uqaSkvBciDlycSLJpxBnvecR0JixDvaqc9FifiCZ6ePot9583FIlXfC0pERKRqVHKqaREpgkUzzmD3+dcT7+5kSFc7EWBIVzvx7k52n389i2acUekiioiIbJbUglzl1II8OLW+tZK6cdsR7+7sNU17TS0dy9+koWlMGUsmIiIycBWrBbmgYd7MrIagP+5UYCSbtkTnfJOeyOZo2VU3MNmy/4CTsAjLrryeKZecV6ZSiYiICBQQIJvZKOAvBCM0GODJR0L/O6AAWaQXPc3NxLvas6ap6+qgp7k5axoREREpvkL6IF8M7AKcDEwgCIg/TTBqw63A3wiGYhORXkSbmmiPxbOm6YjVEW3KNDGjiIiIlFIhAfK/ATe7+w3A6uSyHndf5u5fA9YDPy5WAUUGo0mnn0TEs4+gGPEEk86cWaYSiYiISEohAfJWBK3EAKmxfcNNYXcRTO4hIr1o2GYsT0+fRVusLuP6tlgdT0+fpRv0REREKqCQAPl9YGjy/zVAF7BdaH0XwY17IpLFvvPm8sy0mbTX1NIWi9OD0RaL015TyzPTZrLvvLmVLqKIiMhmKe9h3szsr8AL7v715PNFBDflHQpECW7gG+ruk4tb1M2Thnkb/DaZSe/MmWo5FhERKUDFZtIzswuBc4Gt3L3DzKYDtxH0PXaCqZhnu/t1/SmYBBQgi4iIiOSmkuMgXwJc5u4dAO5+h5l1A18DeoA73f32/hRKRERERKRS8g6QPWhy7khb9r/A/xarUCIiIiIilVLITXoiIiIiIoNWITPpfS+HZO7uPyygPCIiIiIiFVVIH+Q5WdaFp5pWgCxlsckoEKefRMM2YytdLBERERmgCgmQd+wlnwnAt4EG4IT+FEokF55IsGjGGex5x3VMtgjxrnbaY3EiP/seC6fPYt95c7GIehGJiIhIfgq5Se/1Xla9bGYPAg8DJwEX9KdgIn1ZNOMMdp9/PfHuzg3LhnS1A7D7/OtZBOx3y9UVKp2IiIgMVHmPg9xnhmbfAr7j7tsWNePNlMZBzqz1rZXUjdtuo+A4XXtNLR3L39SkGyIiIpuJYo2DXIrfn2uBLUqQr8gGy666gYRlP3wTFmHZldeXqUQiIiIyWBQ1QDazfYBvAf8sZr4i6Xqam4knu1P0pq6rg57m5jKVSERERAaLQoZ5e6WXVaOA4UA3cHJ/CiXSl2hTE+2x+IY+x5l0xOqINjWVsVQiIiIyGOTdB9nMFhAM4xbmwPvAC8A17v5aMQon6oPcG/VBFhERkXTF6oNcyCgWh/ZngyLF0LDNWBZOn8Xu869nSFfHJuvbYnU8M20m+yk4FhERkTxpkFgZsPadN5dnps2kvaaWtlicHoy2WJz2mlqemTaTfefNrXQRRUREZADqs4uFmW1fSMbuvrygEslG1MWib5vMpHfmTHWrEBER2QwVq4tFLgFygk37HPfJ3aOFFko+pABZREREJDfl7IN8EZsGyEcDewAPAv9ILvso8ElgCXBvfwolIiIiIlIpfQbI7j4n/NzM/h3YEdjb3ZekrdsL+BPBaBYiIiIiIgNOITfp/V9gbnpwDODufweuAs7vZ7lERERERCqikAB5J2BllvXvJNOIiIiIiAw4hQTIzcAXzczSV5hZBPgS8HZ/CyYiIiIiUgmFBMi/Bg4FHjCzz5jZjsm/zwIPAAcB1xSxjCIiIiIiZZP3THrAT4AtgTMJRq1Id5W7/7hfpRIRERERqZBCppp24Cwzuxr4PDA+ueoV4B53X1bE8omIiIiIlFUhLcgAuPsLwM+KWBYRERERkYorpA+yiIiIiMig1WcLspldTzCT3mx370k+74u7+6x+l05EREREpMws6FKcJYFZgiBArnf3zuTzvri7R4tRwM2dmbU0NDQ0tLS0VLooIiIiIlWtsbGR1tbWVndv7E8+fXaxcPeIu0fdvTP0vK+/nIJjM2sys5+Y2V/MbI2ZuZkd2kvao83s72bWbmbLzez7ZrZJC7iZNZrZNWb2rpmtM7M/m9ke1ZaniIiIiFSnSvdBngScB2wLPNtbouQYy3cB7xMML3cX8D3gl2npIsAfgK8CVwL/h2BIugVmNqFa8hQRERGR6tVnF4ucMzLbGxgFPOLu7Tm+ZjhQ6+7vmdkxwO+Aw9x9QVq654F2YIq79ySXXQycD+zi7i8ml00Hbge+4O53JZeNAV4A7nX346shz3yoi4WIiIhIbsrWxSKdmZ1rZvemLfsNsBj4I/CcmW2ZS17uvsbd3+tjex8BPgL8KhV0Jl1NUP4vhZZ9GVgB3B3axrvAHcAxZharkjxFREREpEoV0sXiq8Dy1BMz+0Ry2W3AhUATQTeEYtkz+fhkeKG7rwDeDK1PpX3KN20WXwwMByZWSZ4iIiIiUqUKCZDHAf8MPT8GaAa+5u4/Af4bOKrfJftQU/KxOcO6ZmDrtLS9pSOUttJ5bmBmLdn+gIZMrxMRERGR0igkQB4KrA89/wTwUKiF9R/ANv0tWEh98rEjw7r20PpU2t7ShfOqdJ4iIiIiUqUKGX7sLWA3ADPbgaDf7S9C60eSOUgsVCoYr8uwLs7Gwfr6LOnCeVU6zw366kSuVmQRERGR8iqkBfle4FQzmwvcSRAM/yG0fjLwWv+LtkGqy0JThnVNBDfQhdP2lo5Q2krnKSIiIiJVqpAA+SLgUeA0gmD4LHd/B8DM6oEvAH8pWglhSfJxn/BCM9uaYPzkJWlp9zYzS8tjKrAWeKlK8hQRERGRKpV3gOzuH7j7J4FGYIS7/yotySHAj4pQttT2ngf+Bcw2s/AMfacCCeC3oWV3EtwM9/nUAjMbDUwD7nb3rirJU0RERESqVMFTILv76gzL1gPP5JOPmX03+e+uyccZZnYg0OLuc5PLvgPcAzxgZrcTtFyfQTDm8Auh7O4EFgE3m9llwCqClu4IMCdt05XMU0RERESqVEEz6SVnwPs2cATBtMvHu/vCZMvqacAd7v6vHPPqrQCvu/u4ULpjgO8TBNLvAtcDP3T37rT8RgI/Ixh+rp5gvOJz3P3vGbZdsTxzpZn0RERERHJTrJn08g6Qk9MsPwqMJ+h/uzNwuLv/Obn+ZYKuB2f3p2ASUIAsIiIikptiBciFdLG4GNiK4Ca15cDKtPV3A5/sT6FERERERCqlkFEsPgdcnexekKn5+RVgu36VSkRERESkQgoJkEfz4dBmmST4cBINEREREZEBpZAA+W1gQpb1exJ0vRARERERGXAKCZDvA2aZ2SYzxpnZVOB4gn7IIiIiIiIDTiEB8g+AbuBp4McE/ZBPMLNbgYcJply+tGglFBEREREpo0Jm0nsb2Bd4ApgJGDADmA78P+BAd3+/mIUUERERESmXQlqQcfc33P3zwCiC4d72Bca4+1HADmb2pyKWUURERESkbPIaB9nMtiC4Qe99d38pOd3035Lr9jWziwjGQE4UvaQiIiIiImWQUwuymUXN7L+Bd4CFwDIze9zMxprZCDP7DfAYcBjwG2C3kpVYRERERKSEcm1BPhOYDbwJLAImEnSruArYFpgCzAN+6O4vl6CcIiIiIiJlkWuAPAN4DtjP3dsAzOwq4FTgPYIb8xaWpogiIiIiIuWT6016OwM3p4LjpP9KPl6q4FhEREREBotcA+ShBDPohaWeP1e84oiIiIiIVFY+w7x5L8+7ilQWEREREZGKy2eYtyPNbKvQ8yEEQfI0M9sjLa27+y/7WzgRERERkXIz9/SG4QyJzPId19jdPVpYkSTMzFoaGhoaWlpaKl0UERERkarW2NhIa2trq7s39iefXFuQD+vPRkREREREBoqcAmR3/2upCyIiIiIiUg3yuUlPRERERGTQU4AsIiIiIhKiAFlEREREJEQBsoiIiIhIiAJkEREREZEQBcgiIiIiIiEKkEVEREREQhQgi4iIiIiEKEAWEREREQlRgCwiIiIiEqIAWUREREQkRAGyiIiIiEiIAmQRERERkRAFyCIiIiIiIQqQRURERERCFCCLiIiIiIQoQBYRERERCVGALCIiIiISogBZRERERCREAbKIiIiISMiACJDN7FAz817+dklLu7+ZPWpmbWb2tpldYWZDMuRZZ2aXmtkKM1tvZovM7JO9bL/oeYqIiIhIdaqpdAHydDnwVNqyFal/zGwP4E/A88DZwLbAucB44Ki0190IfCmZ50vAicD9ZnaIuy8sZZ4iIiIiUr0GWoD8V3e/K8v6S4D3gEPdfS2Amb0G/NrMPuHuf04umwJ8Ffi2u1+eXHYzsBS4FDi4xHmKiIiISJUaEF0swsxsuJltEtib2QjgcODmVCCbdDOwFpgeWvZloAu4NrXA3duB64ADzaypVHmKiIiISHUbaAHyPGA1sN7M/p+Z7RZatxtBi/iT4Re4eyewBNgztHhP4F9pQS/AYsCAPUqY50bMrCXbH9CQ6XUiIiIiUhoDJUDuBO4EvgV8HvgBMAV41Mx2TqZJtdA2Z3h9M7B16HlTlnSE0pYiTxERERGpYgOiD7K7Pw48Hlp0j5ndS9Cy+33gOKA+ua4jQxbtofUk/+8tHaG0pchzI+7emGl5ilqRRURERMproLQgb8LdnwEeAlLDqK1PPtZlSB4PrU+l7S1dOK9S5CkiIiIiVWzABshJbwCjkv+nujJkuhmuidBwcMm0vaUjlLYUeYqIiIhIFRvoAfJ44N3k/0uBbmCfcAIzqyW4QW5JaPESYBczG5aW39Tk4zMlzFNEREREqtiACJDNbEyGZQcChwEPALh7K0GXixlpQeoMYBgwP7TsTiAGnBzKrw44CXjM3VeUKk8RERERqW4D4iY94HYzayO4UW8VMBmYnfx/Tijdhck0C8zsWoJZ784B7nf3h1KJ3P0JM5sP/DQ5PvHLwAnADgSz31HiPEVERESkSpm7V7oMfTKzbxKMVDERGAGsJGg5nuPuy9PSHkgwc91eBGMm3w6c7+7r0tLFgR8CXwNGAs8CF4SD3lLmmce+tzQ0NDS0tLQUmoWIiIjIZqGxsZHW1tbWvkYJ68uACJA3ZwqQRURERHJTrAB5QPRBFhEREREpFwXIIiIiIiIhCpBFREREREIUIIuIiIiIhChAFhEREREJUYAsIiIiIhKiAFlEREREJEQBsoiIiIhIiAJkEREREZEQBcgiIiIiIiEKkEVEREREQhQgi4iIiIiEKEAWEREREQlRgCwiIiIiEqIAWUREREQkRAGyiIiIiEiIAmQRERERkRAFyCIiIiIiIQqQRURERERCFCCLiIiIiITUVLoAIiIiIvKh1rdWsuyqG+hpbiba1MSk00+iYZuxlS7WZsXcvdJlkCzMrKWhoaGhpaWl0kURERGREvJEgkUzzmDPO64jYRHiXe20x+JEPMHT02ex77y5WEQ//mfT2NhIa2trq7s39icf1bKIiIhIFVg04wx2n3898e5OhnS1EwGGdLUT7+5k9/nXs2jGGZUu4mZDLchVTi3IIiIig1/rWyupG7cd8e7OXtO019TSsfxNGprGlLFkA4takEVERCqk9a2VLL7gUhaedBaLL7iU1rdWVrpIMsAtu+oGEpY9LEtYhGVXXl+mEm3edJOeiIhIjsJ9RCeH+4j+7HssVB/RqjUQbnrraW4m3tWeNU1dVwc9zc1lKtHmTQGyiIhIjsJ9RFOGJIOa3edfzyJgv1uurlDpJN1A+kITbWqiPRbfcDxl0hGrI9rUVMZSbb7UB7nKqQ+yiEj5ZWpxBNRHNE+VbrldeNxp7D7/eoZ0dWyyri1WxzPTZlbNFxr1QS6OYvVBVoBc5RQgi4iUT7Zhtv71kY+z8z+fytrC1xmJ8swBn2HnW6+vup/wy6kahisbiAHnQAroq5Vu0hMRESmybMNsfWTpIur76CMaS/Sw+2MPUDduOxYedxqeSJSn4FWmGoYrG4g3ve07by7PTJtJe00tbbE4PRhtsTjtNbU8M20m+86bW+kibjbUglzl1IIsIlIeubQ4OmA55re5tvhVS8vtwpPOYuqNV2RtCezBWHziN9nvhstLVo5CbNI15cyZVdPKXe2K1YKsm/REpKwq3SdRpDfLrrqByX20OOZjSFcHe95xHa2X/WCzCm5yqcdUy+2US84rWTkG8k1vDduMLWndSN/UxUJEysITCRYedxp147Zj8mVzmHrjFUy+bM5m/1O0VI9chtlyoCsSzTnPavsJvxyqZbiySaefRMSzX1cinmDSmTNLWg4ZmBQgi/Sita2LWxcv5z//9CK3Ll5Oa1tXpYs0oFVDn0SRbFItjtm019Tx/Een0l5TS2ckSl+dFDfHcWtzqcdytNw2bDOWp6fPoi1Wl3F9W6yOp6fP2qxa9yV36oNc5dQHufzcnV88+ALXPPwKkYjR3tlDvDZKIuHMPng8Zx++M2a59kIUqJ4+iSLZ5HOcknBeOHYmuz/2ALWJ7l7Tt8XiLD13zmb1c3k1ne/po2nUdXXQEasr2mgarW1d3Le0mXfXdDBmeB1HTm6iYUisiHsg+dIwb5sJBcjl9/P/t4xrH3mV9V09m6yrj0U5+aAdOeeISWUrT6kuwOW8sC++4FImXzYna1/ATIGEPnwkX/09ZvIZZqvQQHBzOK77qsf7Dz+Wzu//oGz7Hr73oWfMlrx22JG8Xzuk4PofLA0p1Xgs9rdMCpA3E2bWMmLEiIalS5dWuigVtXp9F39ZtpL31nayxbBaDps0lhH1xT+JV6/v4qi5j9LZ3Xu/tdqaCPeeeSAj4qW9iLg7v374FW5ZvJyIGR1dPdTFoiTcOW7K9nz94PEFXYBLlW82L509h0PuvL7Pu8kf/vJJTPzFnIqUMaxcx5sUT7GOGU8kePlb32W/399Oj0WId3fSXlNL1BMs/NxXmHDFxRu1OL505gVM/cMdDMkQJLfV1PLEv01n4pWXFLWMA0G2erxmz8/ys32Ooa62pqz7Xsz6v+avL3Pr4jdo7960ISVeE+XYKdsx+5AJxd6FoqnGY7FYZZo8eTKrV69WgDzYmVmLmTVsueVWtHf3kHCIWHACluPYdack280n33Ud3azr7MH4cIglB4bWRhlaV9yBWNZ39bC2vTtrv0IDhsVrqI/lfqNOulz2f11HN22dPRnLYsCQAvc/l3yH1NYU9X2ftmYtP1q7hmFZ0qwFLhg6nHn19bR3JejqyfwlpZB9T6/v2miEzp5Exv1LP95SYtEI8VikZOdePmXs67X9SVvoOV/MfAupi2KcL+HtNiYSfL6zg7GJBO9GI/xxyBDWRDN8xXPnrJbVnNneRg9QD6wHosCV8SFc3jgCx2jv7in6cV1Kxbr2j+hJ8Om2NkZ19bACuLOmlta0ES6KcU7nUr5iXVPd4d21m7aMpxszrC5rmYpVx4WcW9V2LLpD6/ouOotQprfffht3V4A82JlZC1hDdNjIvALEYpx4+QamuW6zt3xroxFiUSMSsQ2v7e8FLd8P2nWdPazr6L0/YUpdTYQR8diG1+YcHCScrh6nsyfRa726JwP1HMrR1wU4U33kcmEnVK5s788m+9fL/o/oSfD0yneoz7K99cC2Qxs3+fDszRZDa3MKIHsLeNP3c2ht8IWnt+MtLFtdFCKfMqYf7/mcp32lLfTLQb75Zjrmezs/cqmLXI/rbMdMf7+IpwLBMT0bB9SpfHOV63GdSbbrXSoLp/xfEosVUKYU8l4VswzFaEgpVsNPIed/robVBeUv9RfzfMqV/v5kOuZXrnwHIjXt3t2Z7SOnTwqQi8zM6oCLgBnASOAZ4EJ3/1OB+bVYbX3D1rM2HWi+JmrstnUDn5681YafgHP5iWJNe/dGPx9/fIdR/O3193lvbeeGIOGvL7zLcyta6e7Z9PhI//kon59Fsv0stSH/WJSeRII9tmvk78tb6En0foz21t0hvUztXT3URIzuhFMTMXoSnrGMty9eztwFL2Xc7/S6j5jx71O2A+A3i9/IuO8nH7Qj1z7y6kbl6E1dTYRdthrOP99eQ8I9pzKccehEvjJl+w3LsnUNWL2+i18++AIP/eudPvPOJp5l/7K99339FP3r3T/Nz6Z8Macy1EQsWQeRDdvsSST4+LhRfKRpBKOH13HYpLHctnh5n8dbSl1NhO6EZz3estVFpnMrW9eM1Hv1wNK3ez3XNtle8tz76pTt+3xt+nma7dyriRpbDKnlvbbOXstREwm+EORzTsdrokzaahjL3l6bcX34mO/r/Mi2f3cveYvLH3ox6+szHTOp985xblv8ZtF/Ls/letdXGTMd1+Fz+i/LVrJqTQf/aF7Nk69/sMn1LmqQ/pZmuxZmq4vUa83otUyZ5PL+xGNRzvrUTnx+j202LMt0Pct2Tmf6TCykDIdNGrthu6nPxHWdPRvKcOdTb3LtI6/0GSCffNB4Zh644yb7k+28rYkYU3YcxfeP+mjWOl29vosf3Ps8i199n+4M16x8zv/e1EQNY9P3eni8JufP/L7ig76Ot432KXSMZPuMX3HdaWAREu1r+9V0oQC5yMzsVuBLwOXAS8CJwD7AIe6+sID8WqxuaMP2Z93ea5r65EX0gImjaevs5u/LW+jKcOJFDbYdOYS3V7cTiRjrO7NfRLOJRowLj9yVw3fdku/ds5RHXlyV8SQN39T2xnttHPbzBRnTFSoWNc7/7K4bXYRa27o46/aney1TpjLOOnAcZsav/voynXlUROoDrbd9n7zNCJa+tTrjDX/FEI0Ypx06gW9/aid++dCLGW8Y+fpBQd38+pFX6ckh8M5VX/tXEzEO2mk0Fx09mUdfXsXK1vWMu/KnfPr+/9lwN3l7rJaoO9d8/Av84qCvUay+C/W1UXp6EvQ4eQW8hYrXRNht2waefbO1zxt2wjf3mEF7V37jP0ctCKByeW34PP3UL/9KR5a+9bkKn9OtbV1MueShouRbiLqaCA+dfQg/uPd5HvrnyoLyqIkE175sH4Wp7Tz60qqcbhxqbevit39/kx/d98+iHn+p43r/CVuwvquHp15vIRaNFO36Eq+J0JXnl8RUmQ6YOJo9tmtk7Ij4JnXzn396kV8++EKfv8wcsvNoDtl5LGvau1jyRguPv/zeRudTd3cPPQ59Fa8+GYCFz71cyzB1x1EseaMl4/mVynf/CVuw6JX3s9Z7fW2U733uIxw7ZfuCzvm6mshG5U/duLZydTtL3mjhsZdW9flZVVcTYfGFnwKnKOdpPBahu8cZO7yOd9d2ZIwz0m9kz3bTey7nXpgB3z58Z07Yb1zWz/jll38FQAFyNTGzKcATwLfd/fLksjiwFFjh7gcXkGefAXKlRKzvC1Uq3QETRrPwlfeKGhynpAeJ+Qa5EAQdsZpI3sFKNYhFjTHDer9gZQviyyXVUhWvjTJ0bStfeX0xNe+u5J0hjdy3y4GsjmfrnTyw5fOBUQqxqG34ACrWMZD64L3vuWYu+v0/WJ/Hz7bFFDGIWNCimenYL5bUORSrieT85SfhXtIyVav6DHVz6+LlFTlOwudeLmVItY739b7lEtilvpx+aa9tufbRVwo658ONN6nGj3zqMBWkr+/s4cf3/7Nsx2OxA/OUeCzCfuO36PPLgQLkKmRmPwXOAka5+9rQ8vOBHwHbuHteI8ZXc4BcTcrRWitSqFK05FZS6oP3jffbuHrBy5UuTsVU+stPNauWXxoqee4V45es/jbeTN1xFE++/kFZfklLSV0fgKJ+MTKCbh99BfoKkKuQmT0IbOnuH0tb/kngIeBId78/bV1LH9k2WN1QFCCLDGylaMmtpKk7juKp1z8YFPvSH6VqLRsMUnXTUB+r6JeHWPKekY9t28DSt1pZnyHYTJ2fg+l4NgumSy73DxmprhBATt1aiq1YAbKmmi6uJiBTC3Fq2dZlLIuIVJGuHqc74YPiA7gmYvx9uYJjgEjEuO+5Zu5b2kwkUpw+9INFqm4Azj58Z04+aEfqaoIRYMqpq8fp6E7w3JutTN6mgbqaCPW1UYygtbOuJsJe248saytrObiXPzgGiNdGGTO8jjHD64jXFj4caqVVx4CLg0c9kGkcmfbQ+o30NU5fsoW5ob8FExmoohYMWzTIPrsGNAXGH2rv7OHdNR0b/pcPhevGzDjniEmcfOB4zpm/pOCbKvtVnu4Ez77ZuukNl7s1cd9zzTz7VmvF+tNXUr43y/UlkXCO3K0JHObc83xxMq0AtSAX13qgLsPyeGi9yEZSLRgfHzeS+phOyZT6WFAv+4wbVbQLd1iujX0Ro1+TwhQidVNYtTVIjmhfy78/80e++fitfHXJHxnRvrbvF/VTTYUqIRY1aiLW5/bzbS3LNd/BIFU3YQ1DYnxy1y2pr1DLYiRiPPrSKo6dsj3f/OROHDtlexrqYxw5uYnEZvjFLxoxTj10IqcfOqEo17n6WJTZB4+noT5Gw5AYsw8en3e+1XKOqAW5uJoJulmkSy1bUWjGuQyvUirF/naZzghuQojmeYduoXIdfSMlPIRXMYZJiyXHltxoWKTdmhgRr9lwB3z6UGHZ+s71Ry7DOqXen1zGZi6GWNTYa/uRHLPnNiVr2Zl5wDg+aOvi98+uyHou1ddG+c4Rk6ivjW4YXunxl98r2QgF4X0/cOJofvHgC32WMaWQIZN6u+GlJgJjh8dZuaYjGEass5tzH72Fkxf/Lz1m1Hd1sD5Wx5w/XVP0Ifog+NXg4J3HbDg/3l/XyeUPvVC26140EgwfefhHtuRTv/hr1hbzfFrL8sm3v3IZBzmXa6FZcKzU1UTz7j+8oW7SHDm5qWIti+FW7bBUMFfuftKpGDDT+1DIsHv5CA+T6u4Fj5YBHw6Bd/JBO3J2sv8xsOH/XIe4S50jq9Z28F8F3gDc2yRD+VKAXFxLgG+Z2bDwKBbA1OTjM4VkWhs1zpgyksN2GcvwuppNBsfuTbYTLyXbRTReEyWBB+M45jGYdz7SJz5IH/A+PKj4rlsNZ9nba2jPcBNMXxMSpAZfP+eISfz64VdymiwjNRnItCnb8/WDt2VN+1b9nmgjGjFOOWwin/1Y00aTm6xe9Targem7DuEz4yZtPDj+hve9k1sWL8egKDcCRSPGtH13yGmShK9O2b4ok4ykpE8QEX6fvzple75+8DaYGatXvc3HGrvpaFlJd5Z9NqCmJoLnEMTHY1FGsQVf2nMsdz/2bNZ8O2oiTN1yZ0bEDZrq+eKkelYfMJr7n2vmyr+8VPAHV2+TVoT3nXXvcfKeI/osIwQT5uR7ntbVRNhzh5EZz7Vj0yY+Gf3LX3D04ruJhyZ5GdoVBBkn/+13JDrbuCzHSV76UhMxfnPKfmzd+GGPtNXrI/x8zao+6yGlr+uBEQR+mYOS4Jg/fIcaWPce03epzzoRyvQp27F61dsAfabNNd+aqDG5aQRD6mo2mvwjm0wTeHx83Cj+9tr7GSe8+Pi4UTzywrt9Hse1NRFu/fq+/O219zNOSNKbcN2szrA+2/7nI98JluKxKJG293jjjfiGZWvfXkXzTXew5zsrOYt6/mvkR1kTH1rSGy5zmWxqWo7ndDwWpasnkff1KFITYeqWzhtvvAFs/PkTfq8TWe6d+HByli04bJexjIjHePPNNzdKE843l8mNDt+hhruXvEN0/fs5Tx4U/ow/bK6xvr2jve9XZadRLIrIzKYCi9h4HOQ6gnGQ33H3AwvIs8XMGrbaaquNluc6dTHQ57TO2aYjzWX60Q1lTS6PRY3uHu9zlqFUGfOZtrq/U9qm8s5lytFM02zmM1Vzpn3u7/z2qXpp70rQ1cuc9bkaVlfDkNQxUsR6g96/wafnm8/05H1NOT6ktibvKbr7M5V5ttfmIp+psrNtpzYaoaE+tsl5mouhdTUMiUXLNk14qtW6t+tDtjrPpb7zuR5A5mtjqafzzjdtLtNwFzoFdKoM+Z4DuX7+9HWty3aspn9W9bUdd/I+/3HnrJbVnNneRg8wBGgDosDldfX8ZMhQLBIc0x3dvV9z+zquM4nHIgyv+/C8zWUq5myf4+5Buly3n+vnUfpnTiHvc7pift5keu3bb7+Nu7f2dY9Xn3krQC4uM7sDOAb4JfAycALwceAwd3+sgPwyBsjpsp1c+cyX3pdM855n+pDP5YQutBx97U8u+1vKwCh1MS/GhSSb3up4SG2UthwCpL7mtC+03obU1uR0jBRrf9PrNd/3Np+AJtcyZfuSWMgXpXzL2NbZd6BgwLB4TZ/9A6etWcuP1q4h21Qua4Fz6oZwXSxolevrHCi0zgu5rhTr2lgNaQtJn4v+nAP9LVP4tdkaaHLdTj7n/1kftHJ6extDM6RdB1wVH8LlIxs2yjuXBppcpF9/+5LL516hAWWxylDsvPr+rM38xbBYAbK6WBTf8cAPk48jgWcJxj/OOzhOGT58OE888USRilc+qXnnw10Fwt0KKqmv+eHDc8kX8trUT9Ol3vfe6viav77c50+9sw+ZkPf2+lNvxZDLMVVIGftzrGZ6bXpXqGLUUz5lXL2+i6PmPkpnlp+Ia2si3HvmgX3u50tnz2HInddnTVOPsfMen2b7KcfkfA4UWufVfF0ZyAZLveZ6/q99exU77jeVeC/5DAW+2dXFUffex7CxW2xY3lc9rV7fxQ/ufZ7Fr76fsVtCf66/fcl23f+wK8RWA+a9LfTzZvLkyaxenaljT37UglzlzKyloaGhoaWlpdJFGZRS89uHh/tpqM/twtGf15ZaeMrb9Bv+0qfHLUQ173tKNZSxkmXINjFD+gxw2Sy+4FImXzaHIV29d+lbF6vj9yf+Hz5zxX9U3XEgm6e+zr1cjuu2WJyl585hyiXn5bXtUl9/q227pZbvdbSxsZHW1lZ1sRjsFCBLf1RDkCiVUawPy9a3VlI3bruNbtBL115TS8fyN2loGlPMXRApmYUnncXUG6/IOtZtD8biE7/JfjdcXtA2KnX9rYbrfutbK1l21Q30NDcTbWpi0ukn0bDN2LJsu1gBsrpYiAxiDUNiHDtl+0oXQyogPDFDfz4sG7YZy8Lps9h9/vUM6dq0j2NbrI5nps1kPwXHQmUDo3xEm5poj8WztiB3xOqINmUauTU3lbr+VvK674kEi2acwZ53XMdkixDvaqc9Fifys++xcPos9p03d8ONj9VOLchVTi3IIlJp4Q+9hEWo6+qgI1ZHxBM8PcA+9KQ00o+RDYFRlR4j+mWkNBYed1rfX6ZvubqkZVAXi82EAmQRqRabtA6eOVPBgwDVERjlayCWuZpVy5cOBcibCQXIIiJSzaolMMqXfhkprlLe+JiPYgXIeudFRESkYMuuuoFEH5PEJCzCsiuzDxdYbhaJsN8tV9Px2hssPXcOi0/8JkvPnUPH8jfZ75arFRznqae5mXiW4BigrquDnubmMpWof3STnoiIiBRsoAdGDduMLWmL5uaiHDc+lpO+HomIiEjBUoFRNgMpMJLCTDr9JCLe++REABFPMOnMmWUqUf8oQBYREZGCDbbASArTsM1Ynp4+i7ZYXcb1bbE6np4+q6r6oWejAFlEREQKNtgCIyncvvPm8sy0mbTX1NIWi9OD0RaL015TyzPTZrLvvLmVLmLONIpFldMoFiIiUu00IoSEVXJISA3ztplQgCwiIgOFxsqWSlOAvJlQgCwiIiKSG42DLCIiIiJSAgqQRURERERCFCCLiIiIiIQoQBYRERERCVGALCIiIiISolEsqpyZJQBraGiodFFEREREqlprayuAu3u/GoEVIFc5M0u9Qa0VLUjuUpH8QCkvwLDk49qKliJ3quPyGGj1rDouPdVx6amOS2+w1/EIIOHuNf3ZYL9eLGXxVwB3P7TC5ciJmbUA9Hf8wXIyswWgOi6lgVbHMPDqWXVceqrj0lMdl57qODfqgywiIiIiEqIAWUREREQkRAGyiIiIiEiIAmQRERERkRCNYiFFNdBuVhiIVMfloXouPdVx6amOS091XHq6SU9EREREpMIUIIuIiIiIhKiLhYiIiIhIiFqQRURERERCFCCLiIiIiIQoQBYRERERCVGALCIiIiISogBZRERERCREAbIAYGZNZvYTM/uLma0xMzezQzOkazCzq8ys2czazewZM/v3XvI83syeTaZrNrP/NLNhaWnGm9ltZvaSma0zs/fM7GEz+7fS7GnlVLCOxyW3lenvM6XZ28qoYB3PyVLHbmYHlGaPK6NS9ZxMt6uZ3WVmLWa21sz+ZGZ7F38vK8fMPp6st38kr4vLk9fJiRnS7m9mj5pZm5m9bWZXmNmQDOnqzOxSM1thZuvNbJGZfTJDuq+Y2f+Y2QvJ93VBiXazoipcxz8ys79Z8Hm33sz+aWbfN7OhpdrfSqhwHS/o5Vp8W67lr8l/l2WQmgScB7wEPAvsn57AzGqAB4HdgbnJtJ8GbjGzGne/OZT2W8DlyfT/DWwLfAv4qJl9yj8cX3BrYAvgFuBNoB74IvB7M5vl7tcXf1crplJ1nPI/wANpy57p/25VlUrV8f8m80l3CTAM+Fsxdq6KVKSezWwc8BjQDvwUWAecBCwws6nu/o9S7GwFnAccAMwnqN+tgDOAp81sirv/E8DM9gD+BDwPnE1Qb+cC44Gj0vK8EfgSQT2/BJwI3G9mh7j7wlC6U4G9gScJrs2DVSXreG9gETAPWE9wjpwPHGZmh2W4dg9UlaxjgOXAhWnLXsu59O6uP/0BDAe2SP5/DODAoWlpvpJcfnza8juBd4Da5PM6oCV5wFso3eeSrz+mj7JEgKeBpZWul8FQx8C45LKzKl0Hg7WOeynLdkACuKbS9TJY6hn4L6ADmBhaNoTgg/CuStdLEet3/1T9hJbtRPDF4MbQsvsIGhaGhZadnKy3T4SWTUm/BgBxggDj4bTtbAdEk/8vARZUuj4GWx33Up6zk6/fp9J1MxjqGFgALOlP+dXFQgBw9zXu/l4fyQ4gODjvSFt+GzAWOCz5/KNAA3C7J4/U5DZ+D6wl+ODMVpYEwcnSmGv5B4JqqGMzG2pmtQUUf0CohjoOORYwgl9HBpUK1vMBwFPu/lIoXRtwD/BZMxtewO5UHXd/3N0705a9SNDCtiuAmY0ADgdudve1oaQ3E9Tb9NCyLwNdwLWh/NqB64ADzawptPwNd+8p7h5Vn0rWcS9eTz425r0zVaoa6tjMajJ11cqFAmTJRx3QDXSmLW9LPu4VSgfBT0fp1ofSbWBmQ8xstJlNMLOzgM8StChtbkpWx8APCS447Wa20MwO7mdZB6pS1nHYccAbwMMFlHEwKEU91/WSrg2oBSYXVNIBwMwM2BJYlVy0G0E3ySfD6ZIByRJgz9DiPYF/pQUgAIsJvsTtUfwSDzzlrGMziyY/87Y2syOAi4HW9G0NNmU+jncl6Ia1Jtln+QIzyznuVYAs+VgGxAh+5gg7KPm4dfLxRYKWo41uTDKzScCYULqwi4B3CX4q+TlBn85vFaXUA0sp6jhB0Pf4XODo5OMOwENmdhCbn1Iex6k0HwU+BtwabhXdzJSinpcBe2S4menAtDwHo+OAbfiwRT7VWtacIW0zG9dFU5Z0MLjrLR/lrONdCT7z3iK4PhvweXdvybvUA0u56vhl4EfAVwn6KT+bfH51rgXVTXqSj98A3wNuNLMzCILZI4DTkuvrAdx9lZndAcwys2XA3QQnxJUEP4/UZ8j7V8AfCU6ALxMcm3UZ0g12Ra9jd18ObDRaRfJO3n8APyEtMNkMlPI4Tjku+TjoulfkoRT1/F8EN+3cZmbfI2gdOg3YJ5znYGNmuwBXAY8S3NgFH+5rR4aXtLNxXdRnSQeDtN7yUYE6fpWga8FQYN/k/4Oii1BvylnH7j4rLc1NyevMbDP7pbsv66u8akGWnLn72wQtkPUEd5u/CvwMODOZJPyzxykEHe9/QfBN7mHgOeDetHSpvF9094fcfZ67f56g4/29yZ9jNhulrOO07awAbgX2zTSUzmBW6jpOHrP/TnCT6bMl2IUBoRT17O73J19/GPB3ghblf+PDO9WzHvcDkZltBfwB+ACYlrxHAz7sapKpISHOxl1R1mdJB5m7rWw2KlHH7r4u+Zl3t7ufTzAqy91mtnuBu1HVquQ4/jlBS/1hfaQD1IIseXL3h81sPEG/oaEEw4SFfypNpWsFPm9m2xOMovC6u79uZo+H02VxJ0HH+50JPgQ3G2Ws4zcIviQ38mG/0M1Ciev4AIIuLOeXqPgDRinq2d3nmtkNBF1YUv0UZ6XnORiYWQNwP8FNjAckv3SkpH5WznTzVxOwIi1tb+lIS7tZqaI6vougO9xXGWTDb1ZRHb+RfBzVRzpALchSAHfvcfcl7v5YsrP8p5Kr/pwh7XJ3fzj5YddIMP5jLjffpX4qaShKoQeYMtXxeKCH4Bv9ZqeEdXwcQZ/a35Si3ANNKeo52fq20N2fSo648CmCD89/lm5PysvM4gQt6DsDn8vwk/BSgpsg90l7XS3BzUpLQouXALtkuJt/avJxUAVkuaqyOq4Fogyyz7wqq+Pxycd3cyi6AmTpHzMbQzAY+AOeHPQ7ix8TfEP+Vdrr0/OsAU4g6Fc0WAb+L1iJ6ngiwTBkD7v7Zv3zKvS/jkP5xIBpwKPJvt8SUqx6Tstzf4LJhf4z9LPtgGZmUeB2YD+Cn6MXpadJtro/BMxICxhmEExOMz+07E6CGyZPDm2jjmCSlceSXa42K5WqYzMbkVyebhbBz/9P9We/qkk11XGyLBcQXFMeyqX86mIhG5jZd5P/7pp8nGFmBwIt7j43meZRgg72LxHMinMKwRetU9LyujCZzxME3w6PIbhB5xR3fzWU9KfJYO3PBD9/bEnQArcr8H8yDOcyoFWwjscTtMQ1AxOAbyTXnVvM/asGFarjlE/z4cyQg1ol6tnMJhC0zN8DvE0wrNspBH2Wf1H0naycnxP0374XGGVmXwutW+vudyX/vxB4nGAmwWsJZiA7B7jf3TcEAe7+hJnNJ7gWNBH08z6BoCvQieENWzD8Y2oIyC2BhtB7fc8g6ldfqTreC7jVzG4HXiCIww4kuDn97wQzng4Wlazj35jZrQTXnmEE4ynvA1zay7V7U14Fs63orzr+CH4WzvT3WijNFcArBHeSvk3QT3jrDHkdRTA24Zrk31+Bz2RI93mC0SuaCfoTfkAQyH2h0vUxiOr42OS6dwlGBVhJMMTORytdH4OljkPpb00ex6MqXQ+DsZ4Jvnzcncyrg6DP8feBeKXro8h1uyCX+k2mPZBg+u31BDMU/icwNEOecYKbJJsJfp1bDHwqQ7o5WbZ9YqXrZqDXMUHwd13y2F2XTPc8wTj1w0q1v5tZHe9I0PL8WjK/dQRfvk/Ip/yWzExERERERFAfZBERERGRjShAFhEREREJUYAsIiIiIhKiAFlEREREJEQBsoiIiIhIiAJkEREREZEQBcgiIiIiIiEKkEVEZCNmdqOZaZB8EdlsaappEZFBLs9gd8eSFUREZIDQTHoiIoOcmX0tbdFBwGzgGuCRtHW/I5guO+ru7WUonohI1VELsojIIOfu/xN+bmY1BAHywvR1IV0lL5iISJVSH2QREdlIpj7IqWVmtkXy/1VmtsbM7jKzrZJpZpvZP82s3cz+ZWaf7yX/r5jZo8nXt5nZE2b25XLsm4hILhQgi4hIPv4INADfA34NfA74nZl9B/gOcBPwf4Fa4E4z26hPs5ldDNwGrAH+I5m2DZhvZqeXaydERLJRFwsREcnHYnffEMiaGcC3gW2Aye6+Orn8z8AzBF05zk8u2wu4EPixu18QyvM/zewu4MdmdrO7rynHjoiI9EYtyCIiko/L056nbvK7ORUcA7j7s8BqYKdQ2uMAB24ys9HhP+AeYDiwX8lKLiKSI7Ugi4hIPl5Je/5B8vHVDGk/ALYIPd8VMOBfWfLfsvCiiYgUhwJkERHJmbv39LKqt+WW9r8Dn82S/vkCiyYiUjQKkEVEpFxeBD4DLHf3f1a6MCIivVEfZBERKZd5ycdLzCyavtLM1L1CRKqCWpBFRKQs3P1vZjYHmAMsMbP5wAqgCdgbOJJgeDgRkYpSgCwiImXj7j8wsyeBbwJnAUOBlcDS5DIRkYozd+87lYiIiIjIZkJ9kEVEREREQhQgi4iIiIiEKEAWEREREQlRgCwiIiIiEqIAWUREREQkRAGyiIiIiEiIAmQRERERkRAFyCIiIiIiIQqQRURERERC/j+fNlF9nH6RZQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot time series\n",
    "fig, ax = plt.subplots(nrows=2, figsize=[10, 10], sharex=True)\n",
    "df_.plot(y=[\"y\", \"trend\"], marker=\".\", ax=ax[0])\n",
    "df_[\"residual\"] = df_[\"residual\"]\n",
    "\n",
    "# Plot residuals\n",
    "df_.plot(y=[\"residual\"], ax=ax[1], marker=\"o\", linestyle=\"\")\n",
    "df_.plot(y=[\"upper\", \"lower\"], ax=ax[1], color=\"k\", legend=None, alpha=0.9)\n",
    "\n",
    "# If any data points are identified as an outlier, plot them\n",
    "if df_[\"is_outlier\"].any():\n",
    "    df_[\"y\"].loc[df_[\"is_outlier\"]].plot(\n",
    "        marker=\"o\", color=\"r\", ax=ax[0], legend=None, linestyle=\"\", alpha=0.5\n",
    "    )\n",
    "    df_[\"residual\"].loc[df_[\"is_outlier\"]].plot(\n",
    "        marker=\"o\", color=\"r\", ax=ax[1], legend=None, linestyle=\"\"\n",
    "    )\n",
    "\n",
    "ax[0].set_title(\"Retail Sales deseasonalised with outliers\")\n",
    "ax[0].set_ylabel(\"Retail Sales deseasonalised\")\n",
    "ax[1].set_ylabel(\"Residuals\")\n",
    "ax[1].set_xlabel(\"Time\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "median-robert",
   "metadata": {},
   "source": [
    "We can also visualise the residuals for outliers using a histogram and box plot. This also allows us to check that the data is approximately normal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "august-colors",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax_box, ax_hist) = plt.subplots(\n",
    "    2, sharex=True, gridspec_kw={\"height_ratios\": (0.20, 0.80)}, figsize=[12, 7]\n",
    ")\n",
    "sns.boxplot(x=df_[\"residual\"], ax=ax_box)\n",
    "sns.histplot(x=df_[\"residual\"], ax=ax_hist)\n",
    "\n",
    "ax_box.axes.get_xaxis().set_visible(False)\n",
    "ax_box.axes.get_yaxis().set_visible(False)\n",
    "ax_box.set_title('Box plot and histogram of residuals')\n",
    "    \n",
    "ax_hist.vlines(Q1 - factor * IQR, 0, 40, color=\"r\")\n",
    "ax_hist.vlines(Q3 + factor * IQR, 0, 40, color=\"r\")\n",
    "sns.despine()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "executed-voluntary",
   "metadata": {},
   "source": [
    "As we can see the residual method is much more sensitive and identified even smaller flucatuations in the data. The outliers are much clearer in the residual plot. To make the methods less sensitive, a simple solution would be to adjust threshold."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c5d53ec1-264f-40fd-a8ec-722d2d7b8051",
   "metadata": {},
   "source": [
    "# Removing the outliers"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d76a43cf-3e0f-4e6d-ad09-a935a6eb0ed8",
   "metadata": {},
   "source": [
    "Once the outliers are identified and a choice is made to remove them they can be imputed using missing value methods or using the values from the estimation methods. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "88d3b768-0812-49e2-be02-91797690b1a1",
   "metadata": {},
   "source": [
    "As an example we shall use linear interpolation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "08a7580b-35e1-4131-bdc7-3c9fbf6bee97",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Set outliers to NaN\n",
    "df_.loc[df_[\"is_outlier\"], \"y\"] = np.NaN\n",
    "\n",
    "# Apply linear interpolation\n",
    "df_.interpolate(method=\"linear\", inplace=True)\n",
    "\n",
    "# Add the seasonality extracted from STL back to deseasoned data\n",
    "df_[\"y\"] = df_[\"y\"] + res.seasonal\n",
    "\n",
    "# Plot the data and location of the identified outliers from the rolling median method\n",
    "fig, ax = plt.subplots(nrows=2, figsize=[10, 10])\n",
    "df.plot(y=\"y\", marker=\".\", title=\"Before imputing outliers\", ax=ax[0])\n",
    "df_[df_[\"is_outlier\"]][\"y\"].plot(\n",
    "    marker=\"o\", color=\"r\", ax=ax[0], legend=None, linestyle=\"\", alpha=0.5\n",
    ")\n",
    "df_.plot(y=[\"y\"], marker=\".\", title=\"After imputing outliers\", ax=ax[1])\n",
    "df_[df_[\"is_outlier\"]][\"y\"].plot(\n",
    "    marker=\"o\", color=\"r\", ax=ax[1], legend=None, linestyle=\"\", alpha=0.5\n",
    ")\n",
    "ax[0].set_ylim([0, 600000])\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e4b71134-504e-4768-8557-b46590cae806",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
